166297334860800 has 5280 divisors, whose sum is σ = 759524853964800. Its totient is φ = 35401826304000.

The previous prime is 166297334860757. The next prime is 166297334860807. The reversal of 166297334860800 is 8068433792661.

166297334860800 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 9 + 73 + 3 + 486 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is not an unprimeable number, because it can be changed into a prime (166297334860807) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 726189235086 + ... + 726189235314.

It is an arithmetic number, because the mean of its divisors is an integer number (143849404160).

Almost surely, 2^{166297334860800} is an apocalyptic number.

166297334860800 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 166297334860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379762426982400).

166297334860800 is an abundant number, since it is smaller than the sum of its proper divisors (593227519104000).

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

166297334860800 is a wasteful number, since it uses less digits than its factorization.

166297334860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 166297334860800 in words is "one hundred sixty-six trillion, two hundred ninety-seven billion, three hundred thirty-four million, eight hundred sixty thousand, eight hundred".