89715501120 has 448 divisors, whose sum is σ = 348320563200. Its totient is φ = 19106979840.

The previous prime is 89715501053. The next prime is 89715501133. The reversal of 89715501120 is 2110551798.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×89715501120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7782721 + ... + 7794239.

Almost surely, 2^89715501120 is an apocalyptic number.

89715501120 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 89715501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174160281600).

89715501120 is an abundant number, since it is smaller than the sum of its proper divisors (258605062080).

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

89715501120 is a wasteful number, since it uses less digits than its factorization.

89715501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11626 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 39.

The spelling of 89715501120 in words is "eighty-nine billion, seven hundred fifteen million, five hundred one thousand, one hundred twenty".