25900188832 has 192 divisors, whose sum is σ = 60654956544. Its totient is φ = 10659962880.

The previous prime is 25900188829. The next prime is 25900188833. The reversal of 25900188832 is 23888100952.

It is not an unprimeable number, because it can be changed into a prime (25900188833) 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 31 ways as a sum of consecutive naturals, for example, 158896783 + ... + 158896945.

It is an arithmetic number, because the mean of its divisors is an integer number (315911232).

Almost surely, 2^25900188832 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 25900188832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30327478272).

25900188832 is an abundant number, since it is smaller than the sum of its proper divisors (34754767712).

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

25900188832 is a wasteful number, since it uses less digits than its factorization.

25900188832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 25900188832 in words is "twenty-five billion, nine hundred million, one hundred eighty-eight thousand, eight hundred thirty-two".