25679805984 has 288 divisors, whose sum is σ = 88234997760. Its totient is φ = 6920640000.

The previous prime is 25679805967. The next prime is 25679806021. The reversal of 25679805984 is 48950897652.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 9612969 + ... + 9615639.

It is an arithmetic number, because the mean of its divisors is an integer number (306371520).

Almost surely, 2^25679805984 is an apocalyptic number.

25679805984 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 25679805984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44117498880).

25679805984 is an abundant number, since it is smaller than the sum of its proper divisors (62555191776).

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

25679805984 is a wasteful number, since it uses less digits than its factorization.

25679805984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 25679805984 in words is "twenty-five billion, six hundred seventy-nine million, eight hundred five thousand, nine hundred eighty-four".