89837112960 has 640 divisors, whose sum is σ = 376622547840. Its totient is φ = 19976232960.

The previous prime is 89837112943. The next prime is 89837112961. The reversal of 89837112960 is 6921173898.

89837112960 is a `hidden beast` number, since 8 + 98 + 371 + 129 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89837112897 and 89837112906.

It is not an unprimeable number, because it can be changed into a prime (89837112961) 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 79 ways as a sum of consecutive naturals, for example, 13423215 + ... + 13429905.

It is an arithmetic number, because the mean of its divisors is an integer number (588472731).

Almost surely, 2^89837112960 is an apocalyptic number.

89837112960 is a gapful number since it is divisible by the number (80) 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 89837112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188311273920).

89837112960 is an abundant number, since it is smaller than the sum of its proper divisors (286785434880).

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

89837112960 is a wasteful number, since it uses less digits than its factorization.

89837112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 89837112960 in words is "eighty-nine billion, eight hundred thirty-seven million, one hundred twelve thousand, nine hundred sixty".