25634579042016 has 768 divisors, whose sum is σ = 87236119756800. Its totient is φ = 7172773171200.

The previous prime is 25634579041999. The next prime is 25634579042057. The reversal of 25634579042016 is 61024097543652.

It is a happy number.

25634579042016 is a `hidden beast` number, since 2 + 5 + 6 + 34 + 579 + 0 + 4 + 20 + 16 = 666.

It is a super-2 number, since 2×25634579042016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57865866691 + ... + 57865867133.

It is an arithmetic number, because the mean of its divisors is an integer number (113588697600).

Almost surely, 2^{25634579042016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25634579042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43618059878400).

25634579042016 is an abundant number, since it is smaller than the sum of its proper divisors (61601540714784).

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

25634579042016 is a wasteful number, since it uses less digits than its factorization.

25634579042016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 25634579042016 in words is "twenty-five trillion, six hundred thirty-four billion, five hundred seventy-nine million, forty-two thousand, sixteen".