25661712384 has 960 divisors, whose sum is σ = 99891792000. Its totient is φ = 6502809600.

The previous prime is 25661712361. The next prime is 25661712451. The reversal of 25661712384 is 48321716652.

25661712384 is a `hidden beast` number, since 2 + 5 + 6 + 617 + 1 + 23 + 8 + 4 = 666.

Its product of digits (483840) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 625895404 + ... + 625895444.

It is an arithmetic number, because the mean of its divisors is an integer number (104053950).

Almost surely, 2^25661712384 is an apocalyptic number.

25661712384 is a gapful number since it is divisible by the number (24) 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 25661712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49945896000).

25661712384 is an abundant number, since it is smaller than the sum of its proper divisors (74230079616).

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

25661712384 is an equidigital number, since it uses as much as digits as its factorization.

25661712384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 25661712384 in words is "twenty-five billion, six hundred sixty-one million, seven hundred twelve thousand, three hundred eighty-four".