25998564556800 has 2304 divisors, whose sum is σ = 109043260784640. Its totient is φ = 6083444736000.

The previous prime is 25998564556781. The next prime is 25998564556879. The reversal of 25998564556800 is 865546589952.

25998564556800 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 8 + 5 + 64 + 556 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 67881369409 + ... + 67881369791.

It is an arithmetic number, because the mean of its divisors is an integer number (47327804160).

Almost surely, 2^{25998564556800} is an apocalyptic number.

25998564556800 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 25998564556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54521630392320).

25998564556800 is an abundant number, since it is smaller than the sum of its proper divisors (83044696227840).

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

25998564556800 is an equidigital number, since it uses as much as digits as its factorization.

25998564556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 25998564556800 in words is "twenty-five trillion, nine hundred ninety-eight billion, five hundred sixty-four million, five hundred fifty-six thousand, eight hundred".