90986328000 has 280 divisors, whose sum is σ = 336602947824. Its totient is φ = 24262848000.

The previous prime is 90986327989. The next prime is 90986328019. The reversal of 90986328000 is 82368909.

90986328000 is a `hidden beast` number, since 9 + 0 + 9 + 8 + 632 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 577795 + ... + 718205.

Almost surely, 2^90986328000 is an apocalyptic number.

90986328000 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 90986328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168301473912).

90986328000 is an abundant number, since it is smaller than the sum of its proper divisors (245616619824).

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

90986328000 is a wasteful number, since it uses less digits than its factorization.

90986328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140450 (or 140421 counting only the distinct ones).

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

The spelling of 90986328000 in words is "ninety billion, nine hundred eighty-six million, three hundred twenty-eight thousand".