90032217800 has 180 divisors, whose sum is σ = 244763130195. Its totient is φ = 30796899840.

The previous prime is 90032217767. The next prime is 90032217851. The reversal of 90032217800 is 871223009.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3538584196 + 86493633604 = 59486^2 + 294098^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=212170.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 207926384 + ... + 207926816.

Almost surely, 2^90032217800 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 90032217800

90032217800 is an abundant number, since it is smaller than the sum of its proper divisors (154730912395).

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

90032217800 is an frugal number, since it uses more digits than its factorization.

90032217800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Multiplying 90032217800 by its sum of digits (32), we get a square (2881030969600 = 1697360²).

The spelling of 90032217800 in words is "ninety billion, thirty-two million, two hundred seventeen thousand, eight hundred".