16766057672010 has 72 divisors (see below), whose sum is σ = 44027627124780. Its totient is φ = 4426681651200.

The previous prime is 16766057671949. The next prime is 16766057672011. The reversal of 16766057672010 is 1027675066761.

16766057672010 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 60 + 576 + 7 + 2 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10621543783041 + 6144513888969 = 3259071^2 + 2478813^2 .

It is a super-2 number, since 2×16766057672010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16766057672011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8212855 + ... + 10049034.

Almost surely, 2^{16766057672010} is an apocalyptic number.

16766057672010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16766057672010 is an abundant number, since it is smaller than the sum of its proper divisors (27261569452770).

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

16766057672010 is a wasteful number, since it uses less digits than its factorization.

16766057672010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18262104 (or 18262000 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 16766057672010 in words is "sixteen trillion, seven hundred sixty-six billion, fifty-seven million, six hundred seventy-two thousand, ten".