360360081360 has 80 divisors (see below), whose sum is σ = 1241240287680. Its totient is φ = 96096021120.

The previous prime is 360360081293. The next prime is 360360081533. The reversal of 360360081360 is 63180063063.

360360081360 is a `hidden beast` number, since 36 + 0 + 3 + 600 + 8 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 83414526 + ... + 83418845.

It is an arithmetic number, because the mean of its divisors is an integer number (15515503596).

Almost surely, 2^360360081360 is an apocalyptic number.

360360081360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360360081360 is an abundant number, since it is smaller than the sum of its proper divisors (880880206320).

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

360360081360 is a wasteful number, since it uses less digits than its factorization.

360360081360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166833393 (or 166833381 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 360360081360 in words is "three hundred sixty billion, three hundred sixty million, eighty-one thousand, three hundred sixty".