25600876908480 has 224 divisors, whose sum is σ = 90320442777600. Its totient is φ = 6826428969984.

The previous prime is 25600876908449. The next prime is 25600876908539. The reversal of 25600876908480 is 8480967800652.

25600876908480 is a `hidden beast` number, since 2 + 5 + 60 + 0 + 8 + 7 + 6 + 90 + 8 + 480 = 666.

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, 135372069 + ... + 135561051.

It is an arithmetic number, because the mean of its divisors is an integer number (403216262400).

Almost surely, 2^{25600876908480} is an apocalyptic number.

25600876908480 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 25600876908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45160221388800).

25600876908480 is an abundant number, since it is smaller than the sum of its proper divisors (64719565869120).

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

25600876908480 is a wasteful number, since it uses less digits than its factorization.

25600876908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204688 (or 204672 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 25600876908480 in words is "twenty-five trillion, six hundred billion, eight hundred seventy-six million, nine hundred eight thousand, four hundred eighty".