166978924968960 has 2816 divisors, whose sum is σ = 701835722219520. Its totient is φ = 37305848954880.

The previous prime is 166978924968917. The next prime is 166978924968991. The reversal of 166978924968960 is 69869429879661.

166978924968960 is a `hidden beast` number, since 1 + 66 + 97 + 89 + 249 + 68 + 96 + 0 = 666.

It is a super-2 number, since 2×166978924968960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62703312589 + ... + 62703315251.

Almost surely, 2^{166978924968960} is an apocalyptic number.

166978924968960 is a gapful number since it is divisible by the number (10) 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 166978924968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350917861109760).

166978924968960 is an abundant number, since it is smaller than the sum of its proper divisors (534856797250560).

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

166978924968960 is a wasteful number, since it uses less digits than its factorization.

166978924968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 30474952704, while the sum is 90.

The spelling of 166978924968960 in words is "one hundred sixty-six trillion, nine hundred seventy-eight billion, nine hundred twenty-four million, nine hundred sixty-eight thousand, nine hundred sixty".