25640600832 has 486 divisors, whose sum is σ = 94577174874. Its totient is φ = 6656348160.

The previous prime is 25640600831. The next prime is 25640600857. The reversal of 25640600832 is 23800604652.

25640600832 is a `hidden beast` number, since 2 + 5 + 6 + 40 + 600 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22963159296 + 2677441536 = 151536^2 + 51744^2 .

It is a super-2 number, since 2×25640600832² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25640600831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13659478 + ... + 13661354.

Almost surely, 2^25640600832 is an apocalyptic number.

25640600832 is a gapful number since it is divisible by the number (22) 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 25640600832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47288587437).

25640600832 is an abundant number, since it is smaller than the sum of its proper divisors (68936574042).

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

25640600832 is a wasteful number, since it uses less digits than its factorization.

25640600832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 25640600832 in words is "twenty-five billion, six hundred forty million, six hundred thousand, eight hundred thirty-two".