89731400264 has 128 divisors (see below), whose sum is σ = 195808233600. Its totient is φ = 38167234560.

The previous prime is 89731400261. The next prime is 89731400327. The reversal of 89731400264 is 46200413798.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (89731400261) 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, 11222252 + ... + 11230244.

It is an arithmetic number, because the mean of its divisors is an integer number (1529751825).

Almost surely, 2^89731400264 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 89731400264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97904116800).

89731400264 is an abundant number, since it is smaller than the sum of its proper divisors (106076833336).

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

89731400264 is a wasteful number, since it uses less digits than its factorization.

89731400264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 89731400264 in words is "eighty-nine billion, seven hundred thirty-one million, four hundred thousand, two hundred sixty-four".