89088851520 has 252 divisors, whose sum is σ = 316642021020. Its totient is φ = 22989957120.

The previous prime is 89088851507. The next prime is 89088851549. The reversal of 89088851520 is 2515888098.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29537234496 + 59551617024 = 171864^2 + 244032^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2751586 + ... + 2783774.

Almost surely, 2^89088851520 is an apocalyptic number.

89088851520 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 89088851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158321010510).

89088851520 is an abundant number, since it is smaller than the sum of its proper divisors (227553169500).

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

89088851520 is a wasteful number, since it uses less digits than its factorization.

89088851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32274 (or 32230 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 89088851520 in words is "eighty-nine billion, eighty-eight million, eight hundred fifty-one thousand, five hundred twenty".