89923957920000 has 2520 divisors, whose sum is σ = 348616205229600. Its totient is φ = 23120474112000.

The previous prime is 89923957919977. The next prime is 89923957920019. The reversal of 89923957920000 is 2975932998.

89923957920000 is a `hidden beast` number, since 8 + 9 + 9 + 2 + 39 + 579 + 20 + 0 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 89923957920000.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 502368479911 + ... + 502368480089.

It is an arithmetic number, because the mean of its divisors is an integer number (138339763980).

Almost surely, 2^{89923957920000} is an apocalyptic number.

89923957920000 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 89923957920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174308102614800).

89923957920000 is an abundant number, since it is smaller than the sum of its proper divisors (258692247309600).

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

89923957920000 is an frugal number, since it uses more digits than its factorization.

89923957920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 89923957920000 in words is "eighty-nine trillion, nine hundred twenty-three billion, nine hundred fifty-seven million, nine hundred twenty thousand".