90974430516480 has 576 divisors, whose sum is σ = 349585818408960. Its totient is φ = 19696768745472.

The previous prime is 90974430516449. The next prime is 90974430516521. The reversal of 90974430516480 is 8461503447909.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 6407996742 + ... + 6408010938.

Almost surely, 2^{90974430516480} 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 90974430516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174792909204480).

90974430516480 is an abundant number, since it is smaller than the sum of its proper divisors (258611387892480).

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

90974430516480 is a wasteful number, since it uses less digits than its factorization.

90974430516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26794 (or 26780 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 90974430516480 in words is "ninety trillion, nine hundred seventy-four billion, four hundred thirty million, five hundred sixteen thousand, four hundred eighty".