2772166113200 has 60 divisors (see below), whose sum is σ = 7265595379128. Its totient is φ = 1008060403200.

The previous prime is 2772166113191. The next prime is 2772166113221. The reversal of 2772166113200 is 23116612772.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315014477 + ... + 315023276.

Almost surely, 2^{2772166113200} is an apocalyptic number.

2772166113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772166113200 is an abundant number, since it is smaller than the sum of its proper divisors (4493429265928).

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

2772166113200 is a wasteful number, since it uses less digits than its factorization.

2772166113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630037782 (or 630037771 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 2772166113200 in words is "two trillion, seven hundred seventy-two billion, one hundred sixty-six million, one hundred thirteen thousand, two hundred".