89077634280 has 320 divisors, whose sum is σ = 317531229840. Its totient is φ = 22320119808.

The previous prime is 89077634251. The next prime is 89077634291. The reversal of 89077634280 is 8243677098.

89077634280 is a `hidden beast` number, since 8 + 90 + 77 + 63 + 428 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71863669476 + 17213964804 = 268074^2 + 131202^2 .

It is a super-2 number, since 2×89077634280² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52490392 + ... + 52492088.

Almost surely, 2^89077634280 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 89077634280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158765614920).

89077634280 is an abundant number, since it is smaller than the sum of its proper divisors (228453595560).

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

89077634280 is a wasteful number, since it uses less digits than its factorization.

89077634280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 89077634280 in words is "eighty-nine billion, seventy-seven million, six hundred thirty-four thousand, two hundred eighty".