89058659880960 has 6656 divisors, whose sum is σ = 445682663424000. Its totient is φ = 16855282483200.

The previous prime is 89058659880893. The next prime is 89058659880973. The reversal of 89058659880960 is 6908895685098.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 89058659880960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2872859996145 + ... + 2872859996175.

Almost surely, 2^{89058659880960} is an apocalyptic number.

89058659880960 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 89058659880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222841331712000).

89058659880960 is an abundant number, since it is smaller than the sum of its proper divisors (356624003543040).

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

89058659880960 is an equidigital number, since it uses as much as digits as its factorization.

89058659880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 81.

The spelling of 89058659880960 in words is "eighty-nine trillion, fifty-eight billion, six hundred fifty-nine million, eight hundred eighty thousand, nine hundred sixty".