89515671168 has 384 divisors, whose sum is σ = 309923409600. Its totient is φ = 22620487680.

The previous prime is 89515671151. The next prime is 89515671239. The reversal of 89515671168 is 86117651598.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 7652268 + ... + 7663956.

Almost surely, 2^89515671168 is an apocalyptic number.

89515671168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89515671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154961704800).

89515671168 is an abundant number, since it is smaller than the sum of its proper divisors (220407738432).

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

89515671168 is a wasteful number, since it uses less digits than its factorization.

89515671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11749 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 57.

The spelling of 89515671168 in words is "eighty-nine billion, five hundred fifteen million, six hundred seventy-one thousand, one hundred sixty-eight".