89088491520 has 960 divisors, whose sum is σ = 374251773060. Its totient is φ = 20214448128.

The previous prime is 89088491519. The next prime is 89088491581. The reversal of 89088491520 is 2519488098.

It can be written as a sum of positive squares in 2 ways, for example, as 89023463424 + 65028096 = 298368^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×89088491520² (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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 650280892 + ... + 650281028.

Almost surely, 2^89088491520 is an apocalyptic number.

89088491520 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 89088491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125886530).

89088491520 is an abundant number, since it is smaller than the sum of its proper divisors (285163281540).

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

89088491520 is an equidigital number, since it uses as much as digits as its factorization.

89088491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 89088491520 in words is "eighty-nine billion, eighty-eight million, four hundred ninety-one thousand, five hundred twenty".