166740865200 has 1080 divisors, whose sum is σ = 752012836848. Its totient is φ = 35167426560.

The previous prime is 166740865199. The next prime is 166740865219. The reversal of 166740865200 is 2568047661.

166740865200 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 40 + 86 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×166740865200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61915054 + ... + 61917746.

Almost surely, 2^166740865200 is an apocalyptic number.

166740865200 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 166740865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376006418424).

166740865200 is an abundant number, since it is smaller than the sum of its proper divisors (585271971648).

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

166740865200 is a wasteful number, since it uses less digits than its factorization.

166740865200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 166740865200 in words is "one hundred sixty-six billion, seven hundred forty million, eight hundred sixty-five thousand, two hundred".