90362314081920 has 256 divisors, whose sum is σ = 289664945256960. Its totient is φ = 23959867392000.

The previous prime is 90362314081909. The next prime is 90362314081961. The reversal of 90362314081920 is 2918041326309.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90362314081920.

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, 2929925700 + ... + 2929956540.

It is an arithmetic number, because the mean of its divisors is an integer number (1131503692410).

Almost surely, 2^{90362314081920} 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 90362314081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144832472628480).

90362314081920 is an abundant number, since it is smaller than the sum of its proper divisors (199302631175040).

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

90362314081920 is a wasteful number, since it uses less digits than its factorization.

90362314081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39475 (or 39463 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 90362314081920 in words is "ninety trillion, three hundred sixty-two billion, three hundred fourteen million, eighty-one thousand, nine hundred twenty".