90938475564720 has 320 divisors, whose sum is σ = 322860558458880. Its totient is φ = 20742202368000.

The previous prime is 90938475564691. The next prime is 90938475564869. The reversal of 90938475564720 is 2746557483909.

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, 1764022945 + ... + 1764074495.

It is an arithmetic number, because the mean of its divisors is an integer number (1008939245184).

Almost surely, 2^{90938475564720} 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 90938475564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161430279229440).

90938475564720 is an abundant number, since it is smaller than the sum of its proper divisors (231922082894160).

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

90938475564720 is a wasteful number, since it uses less digits than its factorization.

90938475564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53764 (or 53758 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 90938475564720 in words is "ninety trillion, nine hundred thirty-eight billion, four hundred seventy-five million, five hundred sixty-four thousand, seven hundred twenty".