360165639007152 has 640 divisors, whose sum is σ = 1146069313536000. Its totient is φ = 107386584883200.

The previous prime is 360165639007123. The next prime is 360165639007177. The reversal of 360165639007152 is 251700936561063.

360165639007152 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 6 + 563 + 9 + 0 + 0 + 71 + 5 + 2 = 666.

It is a super-4 number, since 4×360165639007152⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136065597093 + ... + 136065599739.

It is an arithmetic number, because the mean of its divisors is an integer number (1790733302400).

Almost surely, 2^{360165639007152} 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 360165639007152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573034656768000).

360165639007152 is an abundant number, since it is smaller than the sum of its proper divisors (785903674528848).

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

360165639007152 is a wasteful number, since it uses less digits than its factorization.

360165639007152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 360165639007152 in words is "three hundred sixty trillion, one hundred sixty-five billion, six hundred thirty-nine million, seven thousand, one hundred fifty-two".