90233902800 has 150 divisors (see below), whose sum is σ = 323842352438. Its totient is φ = 24062365440.

The previous prime is 90233902799. The next prime is 90233902807. The reversal of 90233902800 is 820933209.

It can be written as a sum of positive squares in 3 ways, for example, as 3494228544 + 86739674256 = 59112^2 + 294516^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90233902807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1360099 + ... + 1424898.

Almost surely, 2^90233902800 is an apocalyptic number.

90233902800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90233902800 is an abundant number, since it is smaller than the sum of its proper divisors (233608449638).

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

90233902800 is a wasteful number, since it uses less digits than its factorization.

90233902800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785027 (or 2785007 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 90233902800 in words is "ninety billion, two hundred thirty-three million, nine hundred two thousand, eight hundred".