25808130296928 has 1152 divisors, whose sum is σ = 96186308198400. Its totient is φ = 6684423782400.

The previous prime is 25808130296917. The next prime is 25808130296947. The reversal of 25808130296928 is 82969203180852.

25808130296928 is a `hidden beast` number, since 2 + 5 + 80 + 81 + 302 + 96 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2331141633 + ... + 2331152703.

It is an arithmetic number, because the mean of its divisors is an integer number (83495059200).

Almost surely, 2^{25808130296928} is an apocalyptic number.

25808130296928 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 25808130296928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48093154099200).

25808130296928 is an abundant number, since it is smaller than the sum of its proper divisors (70378177901472).

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

25808130296928 is a wasteful number, since it uses less digits than its factorization.

25808130296928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 25808130296928 in words is "twenty-five trillion, eight hundred eight billion, one hundred thirty million, two hundred ninety-six thousand, nine hundred twenty-eight".