90204129792 has 300 divisors, whose sum is σ = 313199460090. Its totient is φ = 25772027904.

The previous prime is 90204129791. The next prime is 90204129833. The reversal of 90204129792 is 29792140209.

It can be written as a sum of positive squares in only one way, i.e., 52356761856 + 37847367936 = 228816^2 + 194544^2 .

It is not an unprimeable number, because it can be changed into a prime (90204129791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2009934 + ... + 2054322.

Almost surely, 2^90204129792 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 90204129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156599730045).

90204129792 is an abundant number, since it is smaller than the sum of its proper divisors (222995330298).

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

90204129792 is an equidigital number, since it uses as much as digits as its factorization.

90204129792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44433 (or 44401 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 90204129792 in words is "ninety billion, two hundred four million, one hundred twenty-nine thousand, seven hundred ninety-two".