90233637120 has 1008 divisors, whose sum is σ = 361922904000. Its totient is φ = 21359738880.

The previous prime is 90233637103. The next prime is 90233637121. The reversal of 90233637120 is 2173633209.

90233637120 is a `hidden beast` number, since 9 + 0 + 2 + 3 + 3 + 637 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90233637121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 605594806 + ... + 605594954.

It is an arithmetic number, because the mean of its divisors is an integer number (359050500).

Almost surely, 2^90233637120 is an apocalyptic number.

90233637120 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 90233637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180961452000).

90233637120 is an abundant number, since it is smaller than the sum of its proper divisors (271689266880).

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

90233637120 is a wasteful number, since it uses less digits than its factorization.

90233637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 90233637120 in words is "ninety billion, two hundred thirty-three million, six hundred thirty-seven thousand, one hundred twenty".