90589160960 has 160 divisors (see below), whose sum is σ = 221745807360. Its totient is φ = 35485212672.

The previous prime is 90589160923. The next prime is 90589160999. The reversal of 90589160960 is 6906198509.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25682717 + ... + 25686243.

It is an arithmetic number, because the mean of its divisors is an integer number (1385911296).

Almost surely, 2^90589160960 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 90589160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110872903680).

90589160960 is an abundant number, since it is smaller than the sum of its proper divisors (131156646400).

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

90589160960 is a wasteful number, since it uses less digits than its factorization.

90589160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 53.

The spelling of 90589160960 in words is "ninety billion, five hundred eighty-nine million, one hundred sixty thousand, nine hundred sixty".