90488832000 has 576 divisors, whose sum is σ = 345475113984. Its totient is φ = 20604518400.

The previous prime is 90488831981. The next prime is 90488832017. The reversal of 90488832000 is 23888409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344063869 + ... + 344064131.

It is an arithmetic number, because the mean of its divisors is an integer number (599783184).

Almost surely, 2^90488832000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90488832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172737556992).

90488832000 is an abundant number, since it is smaller than the sum of its proper divisors (254986281984).

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

90488832000 is an frugal number, since it uses more digits than its factorization.

90488832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 90488832000 in words is "ninety billion, four hundred eighty-eight million, eight hundred thirty-two thousand".