166799479392000 has 6480 divisors, whose sum is σ = 825031758751200. Its totient is φ = 33259084185600.

The previous prime is 166799479391989. The next prime is 166799479392023. The reversal of 166799479392000 is 293974997661.

166799479392000 is a `hidden beast` number, since 1 + 6 + 67 + 9 + 9 + 479 + 3 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 166799479392000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 407822687796 + ... + 407822688204.

Almost surely, 2^{166799479392000} is an apocalyptic number.

166799479392000 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 166799479392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412515879375600).

166799479392000 is an abundant number, since it is smaller than the sum of its proper divisors (658232279359200).

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

166799479392000 is a wasteful number, since it uses less digits than its factorization.

166799479392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 166799479392000 in words is "one hundred sixty-six trillion, seven hundred ninety-nine billion, four hundred seventy-nine million, three hundred ninety-two thousand".