90045927720 has 320 divisors, whose sum is σ = 346456725120. Its totient is φ = 20548256256.

The previous prime is 90045927683. The next prime is 90045927791. The reversal of 90045927720 is 2772954009.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15487534 + ... + 15493346.

It is an arithmetic number, because the mean of its divisors is an integer number (1082677266).

Almost surely, 2^90045927720 is an apocalyptic number.

90045927720 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 90045927720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173228362560).

90045927720 is an abundant number, since it is smaller than the sum of its proper divisors (256410797400).

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

90045927720 is a wasteful number, since it uses less digits than its factorization.

90045927720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 90045927720 in words is "ninety billion, forty-five million, nine hundred twenty-seven thousand, seven hundred twenty".