25920000000000 has 880 divisors, whose sum is σ = 96798520966785. Its totient is φ = 6912000000000.

The previous prime is 25919999999941. The next prime is 25920000000109. The reversal of 25920000000000 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 6 ways, for example, as 14920111374336 + 10999888625664 = 3862656^2 + 3316608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3600000.

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

It is an unprimeable number.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 5183999999998 + ... + 5184000000002.

Almost surely, 2^{25920000000000} is an apocalyptic number.

25920000000000 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 25920000000000

25920000000000 is an abundant number, since it is smaller than the sum of its proper divisors (70878520966785).

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

25920000000000 is an frugal number, since it uses more digits than its factorization.

25920000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 10 counting only the distinct ones).

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

Multiplying 25920000000000 by its sum of digits (18), we get a square (466560000000000 = 21600000²).

25920000000000 divided by its sum of digits (18) gives a square (1440000000000 = 1200000²).

Adding to 25920000000000 its reverse (2952), we get a palindrome (25920000002952).

The spelling of 25920000000000 in words is "twenty-five trillion, nine hundred twenty billion", and thus it is an aban number.