90832896000 has 1008 divisors, whose sum is σ = 408290133888. Its totient is φ = 18874368000.

The previous prime is 90832895963. The next prime is 90832896013. The reversal of 90832896000 is 69823809.

90832896000 is a `hidden beast` number, since 9 + 0 + 8 + 32 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×90832896000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8257535995 + ... + 8257536005.

It is an arithmetic number, because the mean of its divisors is an integer number (405049736).

Almost surely, 2^90832896000 is an apocalyptic number.

90832896000 is a gapful number since it is divisible by the number (90) 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 90832896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204145066944).

90832896000 is an abundant number, since it is smaller than the sum of its proper divisors (317457237888).

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

90832896000 is an frugal number, since it uses more digits than its factorization.

90832896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 90832896000 in words is "ninety billion, eight hundred thirty-two million, eight hundred ninety-six thousand".