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25920000000 = 2123457
BaseRepresentation
bin11000001000111100…
…111101000000000000
32110220102001102120000
4120020330331000000
5411041010000000
615524003320000
71605215236056
oct301074750000
973812042500
1025920000000
11aaa1189704
125034680000
1325a101330b
14137c62c1d6
15a1a850000
hex608f3d000

25920000000 has 520 divisors, whose sum is σ = 96787935816. Its totient is φ = 6912000000.

The previous prime is 25919999999. The next prime is 25920000019. The reversal of 25920000000 is 2952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 25640976384 + 279023616 = 160128^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183999998 + ... + 5184000002.

Almost surely, 225920000000 is an apocalyptic number.

25920000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48393967908).

25920000000 is an abundant number, since it is smaller than the sum of its proper divisors (70867935816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25920000000 is an frugal number, since it uses more digits than its factorization.

25920000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Multiplying 25920000000 by its product of nonzero digits (180), we get a square (4665600000000 = 21600002).

25920000000 divided by its product of nonzero digits (180) gives a square (144000000 = 120002).

Adding to 25920000000 its reverse (2952), we get a palindrome (25920002952).

The spelling of 25920000000 in words is "twenty-five billion, nine hundred twenty million", and thus it is an aban number.