90881530200 has 480 divisors, whose sum is σ = 321263247360. Its totient is φ = 23808556800.

The previous prime is 90881530199. The next prime is 90881530247. The reversal of 90881530200 is 203518809.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 335356065 + ... + 335356335.

It is an arithmetic number, because the mean of its divisors is an integer number (669298432).

Almost surely, 2^90881530200 is an apocalyptic number.

90881530200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90881530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160631623680).

90881530200 is an abundant number, since it is smaller than the sum of its proper divisors (230381717160).

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

90881530200 is a wasteful number, since it uses less digits than its factorization.

90881530200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 90881530200 in words is "ninety billion, eight hundred eighty-one million, five hundred thirty thousand, two hundred".