89576457432 has 768 divisors, whose sum is σ = 311404953600. Its totient is φ = 21171870720.

The previous prime is 89576457413. The next prime is 89576457437. The reversal of 89576457432 is 23475467598.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89576457437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 869674293 + ... + 869674395.

It is an arithmetic number, because the mean of its divisors is an integer number (405475200).

Almost surely, 2^89576457432 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 89576457432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155702476800).

89576457432 is an abundant number, since it is smaller than the sum of its proper divisors (221828496168).

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

89576457432 is a wasteful number, since it uses less digits than its factorization.

89576457432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 89576457432 in words is "eighty-nine billion, five hundred seventy-six million, four hundred fifty-seven thousand, four hundred thirty-two".