25912262976768 has 288 divisors, whose sum is σ = 87581448702720. Its totient is φ = 7402861486080.

The previous prime is 25912262976713. The next prime is 25912262976841. The reversal of 25912262976768 is 86767926221952.

25912262976768 is a `hidden beast` number, since 2 + 59 + 1 + 226 + 297 + 6 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25912262976768² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 25912262976696 and 25912262976705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026744246 + ... + 1026769482.

It is an arithmetic number, because the mean of its divisors is an integer number (304102252440).

Almost surely, 2^{25912262976768} is an apocalyptic number.

25912262976768 is a gapful number since it is divisible by the number (28) 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 25912262976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43790724351360).

25912262976768 is an abundant number, since it is smaller than the sum of its proper divisors (61669185725952).

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

25912262976768 is a wasteful number, since it uses less digits than its factorization.

25912262976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46490 (or 46470 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 25912262976768 in words is "twenty-five trillion, nine hundred twelve billion, two hundred sixty-two million, nine hundred seventy-six thousand, seven hundred sixty-eight".