25713661932 has 288 divisors, whose sum is σ = 80867404800. Its totient is φ = 6724809216.

The previous prime is 25713661927. The next prime is 25713661943. The reversal of 25713661932 is 23916631752.

25713661932 is a `hidden beast` number, since 2 + 571 + 3 + 66 + 19 + 3 + 2 = 666.

It is a super-2 number, since 2×25713661932² (a number of 22 digits) contains 22 as substring.

Its product of digits (408240) is a multiple of the sum of its prime divisors (1080).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30647569 + ... + 30648407.

It is an arithmetic number, because the mean of its divisors is an integer number (280789600).

Almost surely, 2^25713661932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25713661932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40433702400).

25713661932 is an abundant number, since it is smaller than the sum of its proper divisors (55153742868).

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

25713661932 is a wasteful number, since it uses less digits than its factorization.

25713661932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1080 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 25713661932 in words is "twenty-five billion, seven hundred thirteen million, six hundred sixty-one thousand, nine hundred thirty-two".