165168090360 has 1024 divisors, whose sum is σ = 715889664000. Its totient is φ = 32918814720.

The previous prime is 165168090349. The next prime is 165168090403. The reversal of 165168090360 is 63090861561.

165168090360 is a `hidden beast` number, since 16 + 516 + 8 + 0 + 90 + 36 + 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 255 ways as a sum of consecutive naturals, for example, 201178750 + ... + 201179570.

It is an arithmetic number, because the mean of its divisors is an integer number (699111000).

Almost surely, 2^165168090360 is an apocalyptic number.

165168090360 is a gapful number since it is divisible by the number (10) 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 165168090360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357944832000).

165168090360 is an abundant number, since it is smaller than the sum of its proper divisors (550721573640).

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

165168090360 is a wasteful number, since it uses less digits than its factorization.

165168090360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 165168090360 in words is "one hundred sixty-five billion, one hundred sixty-eight million, ninety thousand, three hundred sixty".