25431658560 has 1344 divisors, whose sum is σ = 117417738240. Its totient is φ = 5120962560.

The previous prime is 25431658523. The next prime is 25431658561. The reversal of 25431658560 is 6585613452.

25431658560 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 1 + 6 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×25431658560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25431658561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200249217 + ... + 200249343.

Almost surely, 2^25431658560 is an apocalyptic number.

25431658560 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 25431658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58708869120).

25431658560 is an abundant number, since it is smaller than the sum of its proper divisors (91986079680).

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

25431658560 is a wasteful number, since it uses less digits than its factorization.

25431658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 25431658560 in words is "twenty-five billion, four hundred thirty-one million, six hundred fifty-eight thousand, five hundred sixty".