165107367360 has 2240 divisors, whose sum is σ = 741658135680. Its totient is φ = 34398535680.

The previous prime is 165107367263. The next prime is 165107367419. The reversal of 165107367360 is 63763701561.

165107367360 is a `hidden beast` number, since 1 + 6 + 510 + 7 + 3 + 6 + 73 + 60 = 666.

165107367360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 319 ways as a sum of consecutive naturals, for example, 4027008940 + ... + 4027008980.

It is an arithmetic number, because the mean of its divisors is an integer number (331097382).

Almost surely, 2^165107367360 is an apocalyptic number.

165107367360 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 165107367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370829067840).

165107367360 is an abundant number, since it is smaller than the sum of its proper divisors (576550768320).

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

165107367360 is a wasteful number, since it uses less digits than its factorization.

165107367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 165107367360 in words is "one hundred sixty-five billion, one hundred seven million, three hundred sixty-seven thousand, three hundred sixty".