25680668832000 has 3456 divisors, whose sum is σ = 119282930737152. Its totient is φ = 5159780352000.

The previous prime is 25680668831959. The next prime is 25680668832047. The reversal of 25680668832000 is 23886608652.

25680668832000 is a `hidden beast` number, since 256 + 8 + 0 + 6 + 68 + 8 + 320 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59308703784 + ... + 59308704216.

Almost surely, 2^{25680668832000} is an apocalyptic number.

25680668832000 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 25680668832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59641465368576).

25680668832000 is an abundant number, since it is smaller than the sum of its proper divisors (93602261905152).

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

25680668832000 is a wasteful number, since it uses less digits than its factorization.

25680668832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 25680668832000 in words is "twenty-five trillion, six hundred eighty billion, six hundred sixty-eight million, eight hundred thirty-two thousand".