90221402880 has 1440 divisors, whose sum is σ = 391761216000. Its totient is φ = 19801055232.

The previous prime is 90221402849. The next prime is 90221402881. The reversal of 90221402880 is 8820412209.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (90221402881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1529176291 + ... + 1529176349.

It is an arithmetic number, because the mean of its divisors is an integer number (272056400).

Almost surely, 2^90221402880 is an apocalyptic number.

90221402880 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 90221402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195880608000).

90221402880 is an abundant number, since it is smaller than the sum of its proper divisors (301539813120).

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

90221402880 is an equidigital number, since it uses as much as digits as its factorization.

90221402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 90221402880 in words is "ninety billion, two hundred twenty-one million, four hundred two thousand, eight hundred eighty".