90321088880 has 240 divisors, whose sum is σ = 243780126240. Its totient is φ = 31011932160.

The previous prime is 90321088831. The next prime is 90321088883. The reversal of 90321088880 is 8888012309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90321088883) 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 47 ways as a sum of consecutive naturals, for example, 73015622 + ... + 73016858.

It is an arithmetic number, because the mean of its divisors is an integer number (1015750526).

Almost surely, 2^90321088880 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 90321088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121890063120).

90321088880 is an abundant number, since it is smaller than the sum of its proper divisors (153459037360).

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

90321088880 is a wasteful number, since it uses less digits than its factorization.

90321088880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 90321088880 in words is "ninety billion, three hundred twenty-one million, eighty-eight thousand, eight hundred eighty".