25225592832 has 336 divisors, whose sum is σ = 82543863360. Its totient is φ = 7644119040.

The previous prime is 25225592809. The next prime is 25225592857. The reversal of 25225592832 is 23829552252.

25225592832 is a `hidden beast` number, since 2 + 5 + 2 + 25 + 592 + 8 + 32 = 666.

Its product of digits (864000) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293235707 + ... + 2293235717.

It is an arithmetic number, because the mean of its divisors is an integer number (245666260).

Almost surely, 2^25225592832 is an apocalyptic number.

25225592832 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 25225592832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41271931680).

25225592832 is an abundant number, since it is smaller than the sum of its proper divisors (57318270528).

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

25225592832 is an frugal number, since it uses more digits than its factorization.

25225592832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 16 counting only the distinct ones).

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

The spelling of 25225592832 in words is "twenty-five billion, two hundred twenty-five million, five hundred ninety-two thousand, eight hundred thirty-two".