25879714560 has 972 divisors, whose sum is σ = 110796311808. Its totient is φ = 5559902208.

The previous prime is 25879714547. The next prime is 25879714573. The reversal of 25879714560 is 6541797852.

25879714560 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 9 + 71 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (25879714547) and next prime (25879714573).

It is a junction number, because it is equal to n+sod(n) for n = 25879714497 and 25879714506.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 203777217 + ... + 203777343.

Almost surely, 2^25879714560 is an apocalyptic number.

25879714560 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 25879714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55398155904).

25879714560 is an abundant number, since it is smaller than the sum of its proper divisors (84916597248).

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

25879714560 is a wasteful number, since it uses less digits than its factorization.

25879714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 25879714560 in words is "twenty-five billion, eight hundred seventy-nine million, seven hundred fourteen thousand, five hundred sixty".