90126328320 has 560 divisors, whose sum is σ = 370327636800. Its totient is φ = 20597317632.

The previous prime is 90126328249. The next prime is 90126328337. The reversal of 90126328320 is 2382362109.

90126328320 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 6 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13060231 + ... + 13067129.

Almost surely, 2^90126328320 is an apocalyptic number.

90126328320 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 90126328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185163818400).

90126328320 is an abundant number, since it is smaller than the sum of its proper divisors (280201308480).

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

90126328320 is an frugal number, since it uses more digits than its factorization.

90126328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 90126328320 in words is "ninety billion, one hundred twenty-six million, three hundred twenty-eight thousand, three hundred twenty".