25504372615680 has 720 divisors, whose sum is σ = 106064503294464. Its totient is φ = 5641512468480.

The previous prime is 25504372615669. The next prime is 25504372615837. The reversal of 25504372615680 is 8651627340552.

25504372615680 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 4 + 3 + 72 + 6 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34633389 + ... + 35362131.

Almost surely, 2^{25504372615680} is an apocalyptic number.

25504372615680 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 25504372615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032251647232).

25504372615680 is an abundant number, since it is smaller than the sum of its proper divisors (80560130678784).

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

25504372615680 is a wasteful number, since it uses less digits than its factorization.

25504372615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728817 (or 728791 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 25504372615680 in words is "twenty-five trillion, five hundred four billion, three hundred seventy-two million, six hundred fifteen thousand, six hundred eighty".