90232735320 has 1024 divisors, whose sum is σ = 399748608000. Its totient is φ = 17562894336.

The previous prime is 90232735301. The next prime is 90232735321. The reversal of 90232735320 is 2353723209.

90232735320 is a `hidden beast` number, since 9 + 0 + 2 + 327 + 3 + 5 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90232735321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88549771 + ... + 88550789.

It is an arithmetic number, because the mean of its divisors is an integer number (390379500).

Almost surely, 2^90232735320 is an apocalyptic number.

90232735320 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 90232735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199874304000).

90232735320 is an abundant number, since it is smaller than the sum of its proper divisors (309515872680).

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

90232735320 is a wasteful number, since it uses less digits than its factorization.

90232735320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 90232735320 in words is "ninety billion, two hundred thirty-two million, seven hundred thirty-five thousand, three hundred twenty".