89414595360 has 384 divisors, whose sum is σ = 333816215040. Its totient is φ = 22274998272.

The previous prime is 89414595329. The next prime is 89414595421. The reversal of 89414595360 is 6359541498.

89414595360 is a `hidden beast` number, since 8 + 9 + 4 + 14 + 595 + 36 + 0 = 666.

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 = 89414595297 and 89414595306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10056837 + ... + 10065723.

It is an arithmetic number, because the mean of its divisors is an integer number (869313060).

Almost surely, 2^89414595360 is an apocalyptic number.

89414595360 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 89414595360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166908107520).

89414595360 is an abundant number, since it is smaller than the sum of its proper divisors (244401619680).

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

89414595360 is a wasteful number, since it uses less digits than its factorization.

89414595360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 89414595360 in words is "eighty-nine billion, four hundred fourteen million, five hundred ninety-five thousand, three hundred sixty".