90165540960 has 576 divisors, whose sum is σ = 349158962880. Its totient is φ = 21714739200.

The previous prime is 90165540943. The next prime is 90165540979. The reversal of 90165540960 is 6904556109.

It is a happy number.

90165540960 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 554 + 0 + 96 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 94611844 + ... + 94612796.

It is an arithmetic number, because the mean of its divisors is an integer number (606178755).

Almost surely, 2^90165540960 is an apocalyptic number.

90165540960 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 90165540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174579481440).

90165540960 is an abundant number, since it is smaller than the sum of its proper divisors (258993421920).

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

90165540960 is a wasteful number, since it uses less digits than its factorization.

90165540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 90165540960 in words is "ninety billion, one hundred sixty-five million, five hundred forty thousand, nine hundred sixty".