89994864960 has 2688 divisors, whose sum is σ = 460120227840. Its totient is φ = 15527116800.

The previous prime is 89994864943. The next prime is 89994865007. The reversal of 89994864960 is 6946849998.

It is a happy number.

89994864960 is a `hidden beast` number, since 8 + 9 + 99 + 48 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1698016294 + ... + 1698016346.

It is an arithmetic number, because the mean of its divisors is an integer number (171175680).

Almost surely, 2^89994864960 is an apocalyptic number.

89994864960 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 89994864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230060113920).

89994864960 is an abundant number, since it is smaller than the sum of its proper divisors (370125362880).

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

89994864960 is a wasteful number, since it uses less digits than its factorization.

89994864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 89994864960 in words is "eighty-nine billion, nine hundred ninety-four million, eight hundred sixty-four thousand, nine hundred sixty".