166761716100 has 144 divisors (see below), whose sum is σ = 556885773696. Its totient is φ = 37739520000.

The previous prime is 166761716071. The next prime is 166761716101. The reversal of 166761716100 is 1617167661.

166761716100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (166761716101) 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, 181021 + ... + 605220.

Almost surely, 2^166761716100 is an apocalyptic number.

166761716100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166761716100 is an abundant number, since it is smaller than the sum of its proper divisors (390124057596).

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

166761716100 is a wasteful number, since it uses less digits than its factorization.

166761716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786366 (or 786359 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 166761716100 in words is "one hundred sixty-six billion, seven hundred sixty-one million, seven hundred sixteen thousand, one hundred".