25879527072 has 144 divisors (see below), whose sum is σ = 84714477120. Its totient is φ = 7340875776.

The previous prime is 25879527031. The next prime is 25879527097. The reversal of 25879527072 is 27072597852.

25879527072 is a `hidden beast` number, since 2 + 587 + 9 + 52 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234048 + ... + 326400.

It is an arithmetic number, because the mean of its divisors is an integer number (588294980).

Almost surely, 2^25879527072 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 25879527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42357238560).

25879527072 is an abundant number, since it is smaller than the sum of its proper divisors (58834950048).

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

25879527072 is a wasteful number, since it uses less digits than its factorization.

25879527072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92515 (or 92504 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 25879527072 in words is "twenty-five billion, eight hundred seventy-nine million, five hundred twenty-seven thousand, seventy-two".