25542621425664 has 624 divisors, whose sum is σ = 85414018060800. Its totient is φ = 7203892101120.

The previous prime is 25542621425617. The next prime is 25542621425677. The reversal of 25542621425664 is 46652412624552.

25542621425664 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 2 + 62 + 14 + 2 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25542621425664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6727051414 + ... + 6727055210.

It is an arithmetic number, because the mean of its divisors is an integer number (136881439200).

Almost surely, 2^{25542621425664} is an apocalyptic number.

25542621425664 is a gapful number since it is divisible by the number (24) 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 25542621425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42707009030400).

25542621425664 is an abundant number, since it is smaller than the sum of its proper divisors (59871396635136).

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

25542621425664 is a wasteful number, since it uses less digits than its factorization.

25542621425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4139 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 25542621425664 in words is "twenty-five trillion, five hundred forty-two billion, six hundred twenty-one million, four hundred twenty-five thousand, six hundred sixty-four".