90219372360 has 384 divisors, whose sum is σ = 305235216000. Its totient is φ = 21297389568.

The previous prime is 90219372359. The next prime is 90219372391. The reversal of 90219372360 is 6327391209.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105273052 + ... + 105273908.

It is an arithmetic number, because the mean of its divisors is an integer number (794883375).

Almost surely, 2^90219372360 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 90219372360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152617608000).

90219372360 is an abundant number, since it is smaller than the sum of its proper divisors (215015843640).

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

90219372360 is a wasteful number, since it uses less digits than its factorization.

90219372360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 90219372360 in words is "ninety billion, two hundred nineteen million, three hundred seventy-two thousand, three hundred sixty".