25879929600 has 864 divisors, whose sum is σ = 105989216256. Its totient is φ = 5426380800.

The previous prime is 25879929587. The next prime is 25879929629. The reversal of 25879929600 is 692997852.

It is a super-2 number, since 2×25879929600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107385480 + ... + 107385720.

It is an arithmetic number, because the mean of its divisors is an integer number (122672704).

Almost surely, 2^25879929600 is an apocalyptic number.

25879929600 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 25879929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52994608128).

25879929600 is an abundant number, since it is smaller than the sum of its proper divisors (80109286656).

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

25879929600 is a wasteful number, since it uses less digits than its factorization.

25879929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 25879929600 in words is "twenty-five billion, eight hundred seventy-nine million, nine hundred twenty-nine thousand, six hundred".