90081493582500 has 720 divisors, whose sum is σ = 341227040394240. Its totient is φ = 19584667872000.

The previous prime is 90081493582489. The next prime is 90081493582573. The reversal of 90081493582500 is 528539418009.

90081493582500 is a `hidden beast` number, since 9 + 0 + 0 + 8 + 1 + 4 + 9 + 3 + 582 + 50 + 0 = 666.

90081493582500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90081493582500² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 648358039 + ... + 648496961.

It is an arithmetic number, because the mean of its divisors is an integer number (473926444992).

Almost surely, 2^{90081493582500} is an apocalyptic number.

90081493582500 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 90081493582500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170613520197120).

90081493582500 is an abundant number, since it is smaller than the sum of its proper divisors (251145546811740).

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

90081493582500 is a wasteful number, since it uses less digits than its factorization.

90081493582500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139162 (or 139142 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 90081493582500 in words is "ninety trillion, eighty-one billion, four hundred ninety-three million, five hundred eighty-two thousand, five hundred".