90165519360 has 1848 divisors, whose sum is σ = 413197676280. Its totient is φ = 18728091648.

The previous prime is 90165519341. The next prime is 90165519383. The reversal of 90165519360 is 6391556109.

90165519360 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 551 + 93 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19349922816 + 70815596544 = 139104^2 + 266112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3109155826 + ... + 3109155854.

Almost surely, 2^90165519360 is an apocalyptic number.

90165519360 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 90165519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206598838140).

90165519360 is an abundant number, since it is smaller than the sum of its proper divisors (323032156920).

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

90165519360 is a wasteful number, since it uses less digits than its factorization.

90165519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 90165519360 in words is "ninety billion, one hundred sixty-five million, five hundred nineteen thousand, three hundred sixty".