90332110800 has 180 divisors, whose sum is σ = 321950356780. Its totient is φ = 23437486080.

The previous prime is 90332110789. The next prime is 90332110807. The reversal of 90332110800 is 801123309.

It can be written as a sum of positive squares in 6 ways, for example, as 3309470784 + 87022640016 = 57528^2 + 294996^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90332110807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205885 + ... + 472284.

Almost surely, 2^90332110800 is an apocalyptic number.

90332110800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90332110800 is an abundant number, since it is smaller than the sum of its proper divisors (231618245980).

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

90332110800 is a wasteful number, since it uses less digits than its factorization.

90332110800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678230 (or 678216 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 90332110800 in words is "ninety billion, three hundred thirty-two million, one hundred ten thousand, eight hundred".