90031932000 has 384 divisors, whose sum is σ = 347000734080. Its totient is φ = 22595788800.

The previous prime is 90031931989. The next prime is 90031932013. The reversal of 90031932000 is 23913009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811482 + ... + 1860518.

It is an arithmetic number, because the mean of its divisors is an integer number (903647745).

Almost surely, 2^90031932000 is an apocalyptic number.

90031932000 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 90031932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173500367040).

90031932000 is an abundant number, since it is smaller than the sum of its proper divisors (256968802080).

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

90031932000 is a wasteful number, since it uses less digits than its factorization.

90031932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49088 (or 49064 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 90031932000 in words is "ninety billion, thirty-one million, nine hundred thirty-two thousand".