25617440000 has 180 divisors, whose sum is σ = 66113415060. Its totient is φ = 9891840000.

The previous prime is 25617439999. The next prime is 25617440003. The reversal of 25617440000 is 4471652.

It can be written as a sum of positive squares in 10 ways, for example, as 21719685376 + 3897754624 = 147376^2 + 62432^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25617440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4637240 + ... + 4642760.

Almost surely, 2^25617440000 is an apocalyptic number.

25617440000 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 25617440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33056707530).

25617440000 is an abundant number, since it is smaller than the sum of its proper divisors (40495975060).

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

25617440000 is an frugal number, since it uses more digits than its factorization.

25617440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 25617440000 in words is "twenty-five billion, six hundred seventeen million, four hundred forty thousand".