25596522768960 has 672 divisors, whose sum is σ = 105128951316480. Its totient is φ = 5633987788800.

The previous prime is 25596522768937. The next prime is 25596522769057. The reversal of 25596522768960 is 6986722569552.

25596522768960 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 6 + 522 + 7 + 6 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24612801 + ... + 25631679.

It is an arithmetic number, because the mean of its divisors is an integer number (156441891840).

Almost surely, 2^{25596522768960} is an apocalyptic number.

25596522768960 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 25596522768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52564475658240).

25596522768960 is an abundant number, since it is smaller than the sum of its proper divisors (79532428547520).

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

25596522768960 is a wasteful number, since it uses less digits than its factorization.

25596522768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018987 (or 1018974 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 25596522768960 in words is "twenty-five trillion, five hundred ninety-six billion, five hundred twenty-two million, seven hundred sixty-eight thousand, nine hundred sixty".