90372199809024 has 1728 divisors, whose sum is σ = 343590704271360. Its totient is φ = 22259674644480.

The previous prime is 90372199808953. The next prime is 90372199809029. The reversal of 90372199809024 is 42090899127309.

90372199809024 is a `hidden beast` number, since 90 + 372 + 1 + 9 + 98 + 0 + 90 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90372199809029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82682707422 + ... + 82682708514.

It is an arithmetic number, because the mean of its divisors is an integer number (198837213120).

Almost surely, 2^{90372199809024} 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 90372199809024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171795352135680).

90372199809024 is an abundant number, since it is smaller than the sum of its proper divisors (253218504462336).

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

90372199809024 is a wasteful number, since it uses less digits than its factorization.

90372199809024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 90372199809024 in words is "ninety trillion, three hundred seventy-two billion, one hundred ninety-nine million, eight hundred nine thousand, twenty-four".