90022326831360 has 3456 divisors, whose sum is σ = 419462990069760. Its totient is φ = 17398262661120.

The previous prime is 90022326831329. The next prime is 90022326831361. The reversal of 90022326831360 is 6313862322009.

90022326831360 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 2 + 326 + 8 + 313 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90022326831361) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 187938051601 + ... + 187938052079.

It is an arithmetic number, because the mean of its divisors is an integer number (121372392960).

Almost surely, 2^{90022326831360} is an apocalyptic number.

90022326831360 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 90022326831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209731495034880).

90022326831360 is an abundant number, since it is smaller than the sum of its proper divisors (329440663238400).

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

90022326831360 is a wasteful number, since it uses less digits than its factorization.

90022326831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 90022326831360 in words is "ninety trillion, twenty-two billion, three hundred twenty-six million, eight hundred thirty-one thousand, three hundred sixty".