89870376960 has 1792 divisors, whose sum is σ = 422760038400. Its totient is φ = 17581473792.

The previous prime is 89870376929. The next prime is 89870376977. The reversal of 89870376960 is 6967307898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1912135657 + ... + 1912135703.

It is an arithmetic number, because the mean of its divisors is an integer number (235915200).

Almost surely, 2^89870376960 is an apocalyptic number.

89870376960 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 89870376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211380019200).

89870376960 is an abundant number, since it is smaller than the sum of its proper divisors (332889661440).

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

89870376960 is a wasteful number, since it uses less digits than its factorization.

89870376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 89870376960 in words is "eighty-nine billion, eight hundred seventy million, three hundred seventy-six thousand, nine hundred sixty".