166956337200 has 120 divisors (see below), whose sum is σ = 539815503168. Its totient is φ = 44105565440.

The previous prime is 166956337199. The next prime is 166956337201. The reversal of 166956337200 is 2733659661.

166956337200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166956337199) and next prime (166956337201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 166956337200.

It is not an unprimeable number, because it can be changed into a prime (166956337201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521742 + ... + 778541.

Almost surely, 2^166956337200 is an apocalyptic number.

166956337200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166956337200 is an abundant number, since it is smaller than the sum of its proper divisors (372859165968).

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

166956337200 is a wasteful number, since it uses less digits than its factorization.

166956337200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300411 (or 1300400 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 166956337200 in words is "one hundred sixty-six billion, nine hundred fifty-six million, three hundred thirty-seven thousand, two hundred".