90321868800 has 720 divisors, whose sum is σ = 346529383200. Its totient is φ = 23224320000.

The previous prime is 90321868799. The next prime is 90321868873. The reversal of 90321868800 is 886812309.

It is a tau number, because it is divible by the number of its divisors (720).

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 120268425 + ... + 120269175.

It is an arithmetic number, because the mean of its divisors is an integer number (481290810).

Almost surely, 2^90321868800 is an apocalyptic number.

90321868800 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 90321868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173264691600).

90321868800 is an abundant number, since it is smaller than the sum of its proper divisors (256207514400).

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

90321868800 is a wasteful number, since it uses less digits than its factorization.

90321868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 90321868800 in words is "ninety billion, three hundred twenty-one million, eight hundred sixty-eight thousand, eight hundred".