89931482880 has 144 divisors (see below), whose sum is σ = 288413420064. Its totient is φ = 23881973760.

The previous prime is 89931482873. The next prime is 89931482899. The reversal of 89931482880 is 8828413998.

It is a super-2 number, since 2×89931482880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876852 + ... + 974028.

Almost surely, 2^89931482880 is an apocalyptic number.

89931482880 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 89931482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144206710032).

89931482880 is an abundant number, since it is smaller than the sum of its proper divisors (198481937184).

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

89931482880 is a wasteful number, since it uses less digits than its factorization.

89931482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97442 (or 97428 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 89931482880 in words is "eighty-nine billion, nine hundred thirty-one million, four hundred eighty-two thousand, eight hundred eighty".