25660615680 has 1056 divisors, whose sum is σ = 110361139200. Its totient is φ = 5382733824.

The previous prime is 25660615667. The next prime is 25660615723. The reversal of 25660615680 is 8651606652.

It is a happy number.

25660615680 is a `hidden beast` number, since 2 + 566 + 0 + 6 + 1 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324817881 + ... + 324817959.

Almost surely, 2^25660615680 is an apocalyptic number.

25660615680 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 25660615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55180569600).

25660615680 is an abundant number, since it is smaller than the sum of its proper divisors (84700523520).

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

25660615680 is a wasteful number, since it uses less digits than its factorization.

25660615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25660615680 in words is "twenty-five billion, six hundred sixty million, six hundred fifteen thousand, six hundred eighty".