90038430800 has 30 divisors (see below), whose sum is σ = 216317330958. Its totient is φ = 36015372160.

The previous prime is 90038430791. The next prime is 90038430821. The reversal of 90038430800 is 803483009.

It can be written as a sum of positive squares in 3 ways, for example, as 10917742144 + 79120688656 = 104488^2 + 281284^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112547639 + ... + 112548438.

Almost surely, 2^90038430800 is an apocalyptic number.

It is an amenable number.

90038430800 is an abundant number, since it is smaller than the sum of its proper divisors (126278900158).

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

90038430800 is a wasteful number, since it uses less digits than its factorization.

90038430800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225096095 (or 225096084 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 90038430800 in words is "ninety billion, thirty-eight million, four hundred thirty thousand, eight hundred".