90562019328 has 480 divisors, whose sum is σ = 301225720320. Its totient is φ = 26648248320.

The previous prime is 90562019321. The next prime is 90562019371. The reversal of 90562019328 is 82391026509.

90562019328 is a `hidden beast` number, since 9 + 0 + 5 + 620 + 19 + 3 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (90562019321) 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 31 ways as a sum of consecutive naturals, for example, 180043525 + ... + 180044027.

It is an arithmetic number, because the mean of its divisors is an integer number (627553584).

Almost surely, 2^90562019328 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 90562019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150612860160).

90562019328 is an abundant number, since it is smaller than the sum of its proper divisors (210663700992).

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

90562019328 is a wasteful number, since it uses less digits than its factorization.

90562019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 90562019328 in words is "ninety billion, five hundred sixty-two million, nineteen thousand, three hundred twenty-eight".