20177688166016 has 32 divisors (see below), whose sum is σ = 40956186046500. Its totient is φ = 9898488530944.

The previous prime is 20177688166001. The next prime is 20177688166079. The reversal of 20177688166016 is 61066188677102.

It can be written as a sum of positive squares in 2 ways, for example, as 17549061505600 + 2628626660416 = 4189160^2 + 1621304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1487145941 + ... + 1487159508.

Almost surely, 2^{20177688166016} is an apocalyptic number.

It is an amenable number.

20177688166016 is an abundant number, since it is smaller than the sum of its proper divisors (20778497880484).

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

20177688166016 is an equidigital number, since it uses as much as digits as its factorization.

20177688166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974305516 (or 2974305504 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 20177688166016 in words is "twenty trillion, one hundred seventy-seven billion, six hundred eighty-eight million, one hundred sixty-six thousand, sixteen".