36539174468160 has 1344 divisors, whose sum is σ = 165587045105664. Its totient is φ = 7460630323200.

The previous prime is 36539174468131. The next prime is 36539174468161. The reversal of 36539174468160 is 6186447193563.

It is a happy number.

36539174468160 is a `hidden beast` number, since 3 + 6 + 5 + 3 + 9 + 1 + 7 + 4 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×36539174468160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36539174468161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219277675 + ... + 219444245.

It is an arithmetic number, because the mean of its divisors is an integer number (123204646656).

Almost surely, 2^{36539174468160} is an apocalyptic number.

36539174468160 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 36539174468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82793522552832).

36539174468160 is an abundant number, since it is smaller than the sum of its proper divisors (129047870637504).

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

36539174468160 is a wasteful number, since it uses less digits than its factorization.

36539174468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166654 (or 166632 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 36539174468160 in words is "thirty-six trillion, five hundred thirty-nine billion, one hundred seventy-four million, four hundred sixty-eight thousand, one hundred sixty".