90038419600 has 60 divisors (see below), whose sum is σ = 222163753204. Its totient is φ = 35041973760.

The previous prime is 90038419589. The next prime is 90038419613. The reversal of 90038419600 is 691483009.

It can be written as a sum of positive squares in 6 ways, for example, as 4051067904 + 85987351696 = 63648^2 + 293236^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3027039 + ... + 3056638.

Almost surely, 2^90038419600 is an apocalyptic number.

It is an amenable number.

90038419600 is an abundant number, since it is smaller than the sum of its proper divisors (132125333604).

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

90038419600 is a wasteful number, since it uses less digits than its factorization.

90038419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083732 (or 6083721 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 90038419600 in words is "ninety billion, thirty-eight million, four hundred nineteen thousand, six hundred".