89312827968 has 252 divisors, whose sum is σ = 316809412608. Its totient is φ = 23554851840.

The previous prime is 89312827949. The next prime is 89312827979. The reversal of 89312827968 is 86972821398.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 615873 + ... + 746943.

Almost surely, 2^89312827968 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 89312827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158404706304).

89312827968 is an abundant number, since it is smaller than the sum of its proper divisors (227496584640).

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

89312827968 is a wasteful number, since it uses less digits than its factorization.

89312827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131122 (or 131096 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 89312827968 in words is "eighty-nine billion, three hundred twelve million, eight hundred twenty-seven thousand, nine hundred sixty-eight".