25672937068800 has 1944 divisors, whose sum is σ = 111199920452712. Its totient is φ = 5629575168000.

The previous prime is 25672937068787. The next prime is 25672937068847. The reversal of 25672937068800 is 886073927652.

25672937068800 is a `hidden beast` number, since 2 + 567 + 2 + 9 + 3 + 7 + 0 + 68 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25161700628736 + 511236440064 = 5016144^2 + 715008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7058820582 + ... + 7058824218.

Almost surely, 2^{25672937068800} is an apocalyptic number.

25672937068800 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 25672937068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55599960226356).

25672937068800 is an abundant number, since it is smaller than the sum of its proper divisors (85526983383912).

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

25672937068800 is a wasteful number, since it uses less digits than its factorization.

25672937068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 25672937068800 in words is "twenty-five trillion, six hundred seventy-two billion, nine hundred thirty-seven million, sixty-eight thousand, eight hundred".