360237080160000 has 2160 divisors, whose sum is σ = 1443394016064000. Its totient is φ = 89255043072000.

The previous prime is 360237080159987. The next prime is 360237080160031. The reversal of 360237080160000 is 61080732063.

It is a happy number.

360237080160000 is a `hidden beast` number, since 3 + 602 + 37 + 0 + 8 + 0 + 16 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52215836551 + ... + 52215843449.

It is an arithmetic number, because the mean of its divisors is an integer number (668237970400).

Almost surely, 2^{360237080160000} is an apocalyptic number.

360237080160000 is a gapful number since it is divisible by the number (30) 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 360237080160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721697008032000).

360237080160000 is an abundant number, since it is smaller than the sum of its proper divisors (1083156935904000).

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

360237080160000 is an frugal number, since it uses more digits than its factorization.

360237080160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 360237080160000 in words is "three hundred sixty trillion, two hundred thirty-seven billion, eighty million, one hundred sixty thousand".