89192957952 has 576 divisors, whose sum is σ = 301161369600. Its totient is φ = 23317217280.

The previous prime is 89192957941. The next prime is 89192958059. The reversal of 89192957952 is 25975929198.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177321733 + ... + 177322235.

It is an arithmetic number, because the mean of its divisors is an integer number (522849600).

Almost surely, 2^89192957952 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 89192957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150580684800).

89192957952 is an abundant number, since it is smaller than the sum of its proper divisors (211968411648).

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

89192957952 is a wasteful number, since it uses less digits than its factorization.

89192957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 565 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 66.

The spelling of 89192957952 in words is "eighty-nine billion, one hundred ninety-two million, nine hundred fifty-seven thousand, nine hundred fifty-two".