90130844160 has 960 divisors, whose sum is σ = 381989836800. Its totient is φ = 19181961216.

The previous prime is 90130844159. The next prime is 90130844173. The reversal of 90130844160 is 6144803109.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×90130844160² (a number of 23 digits) contains 22 as substring.

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

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, 205309221 + ... + 205309659.

It is an arithmetic number, because the mean of its divisors is an integer number (397906080).

Almost surely, 2^90130844160 is an apocalyptic number.

90130844160 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 90130844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190994918400).

90130844160 is an abundant number, since it is smaller than the sum of its proper divisors (291858992640).

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

90130844160 is a wasteful number, since it uses less digits than its factorization.

90130844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 90130844160 in words is "ninety billion, one hundred thirty million, eight hundred forty-four thousand, one hundred sixty".