966133180802160 has 1440 divisors, whose sum is σ = 4070089084501440. Its totient is φ = 212109683982336.

The previous prime is 966133180802099. The next prime is 966133180802261. The reversal of 966133180802160 is 61208081331669.

966133180802160 is a `hidden beast` number, since 9 + 6 + 613 + 3 + 1 + 8 + 0 + 8 + 0 + 2 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 966133180802097 and 966133180802106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5331387714 + ... + 5331568926.

It is an arithmetic number, because the mean of its divisors is an integer number (2826450753126).

Almost surely, 2^{966133180802160} is an apocalyptic number.

966133180802160 is a gapful number since it is divisible by the number (90) 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 966133180802160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035044542250720).

966133180802160 is an abundant number, since it is smaller than the sum of its proper divisors (3103955903699280).

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

966133180802160 is a wasteful number, since it uses less digits than its factorization.

966133180802160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181477 (or 181452 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 966133180802160 in words is "nine hundred sixty-six trillion, one hundred thirty-three billion, one hundred eighty million, eight hundred two thousand, one hundred sixty".