90775905792 has 320 divisors, whose sum is σ = 293928687360. Its totient is φ = 24514560000.

The previous prime is 90775905751. The next prime is 90775905817. The reversal of 90775905792 is 29750957709.

It is a congruent number.

It is an unprimeable number.

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, 6362667 + ... + 6376917.

It is an arithmetic number, because the mean of its divisors is an integer number (918527148).

Almost surely, 2^90775905792 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 90775905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146964343680).

90775905792 is an abundant number, since it is smaller than the sum of its proper divisors (203152781568).

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

90775905792 is a wasteful number, since it uses less digits than its factorization.

90775905792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14325 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 12502350, while the sum is 60.

The spelling of 90775905792 in words is "ninety billion, seven hundred seventy-five million, nine hundred five thousand, seven hundred ninety-two".