166860151200 has 288 divisors, whose sum is σ = 604271949120. Its totient is φ = 44437478400.

The previous prime is 166860151181. The next prime is 166860151207. The reversal of 166860151200 is 2151068661.

166860151200 is a `hidden beast` number, since 1 + 66 + 86 + 0 + 1 + 512 + 0 + 0 = 666.

166860151200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×166860151200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166860151207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17858530 + ... + 17867870.

It is an arithmetic number, because the mean of its divisors is an integer number (2098166490).

Almost surely, 2^166860151200 is an apocalyptic number.

166860151200 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 166860151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302135974560).

166860151200 is an abundant number, since it is smaller than the sum of its proper divisors (437411797920).

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

166860151200 is a wasteful number, since it uses less digits than its factorization.

166860151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 166860151200 in words is "one hundred sixty-six billion, eight hundred sixty million, one hundred fifty-one thousand, two hundred".