25627544706400 has 576 divisors, whose sum is σ = 77884561069056. Its totient is φ = 8017873920000.

The previous prime is 25627544706397. The next prime is 25627544706419. The reversal of 25627544706400 is 460744572652.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5463128055 + ... + 5463132745.

It is an arithmetic number, because the mean of its divisors is an integer number (135216251856).

Almost surely, 2^{25627544706400} is an apocalyptic number.

25627544706400 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 25627544706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38942280534528).

25627544706400 is an abundant number, since it is smaller than the sum of its proper divisors (52257016362656).

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

25627544706400 is a wasteful number, since it uses less digits than its factorization.

25627544706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 25627544706400 in words is "twenty-five trillion, six hundred twenty-seven billion, five hundred forty-four million, seven hundred six thousand, four hundred".