166877851140 has 1152 divisors, whose sum is σ = 711956044800. Its totient is φ = 30516756480.

The previous prime is 166877851087. The next prime is 166877851163. The reversal of 166877851140 is 41158778661.

166877851140 is a `hidden beast` number, since 1 + 6 + 6 + 87 + 7 + 8 + 511 + 40 = 666.

166877851140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166877851140² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 569548834 + ... + 569549126.

It is an arithmetic number, because the mean of its divisors is an integer number (618017400).

Almost surely, 2^166877851140 is an apocalyptic number.

166877851140 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 166877851140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355978022400).

166877851140 is an abundant number, since it is smaller than the sum of its proper divisors (545078193660).

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

166877851140 is a wasteful number, since it uses less digits than its factorization.

166877851140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 166877851140 in words is "one hundred sixty-six billion, eight hundred seventy-seven million, eight hundred fifty-one thousand, one hundred forty".