27877233277872 has 120 divisors (see below), whose sum is σ = 85952712098448. Its totient is φ = 8364006336000.

The previous prime is 27877233277813. The next prime is 27877233277909.

27877233277872 is a `hidden beast` number, since 2 + 7 + 87 + 72 + 332 + 77 + 87 + 2 = 666.

27877233277872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27877233277872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86965083 + ... + 87285050.

Almost surely, 2^{27877233277872} is an apocalyptic number.

27877233277872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27877233277872 is an abundant number, since it is smaller than the sum of its proper divisors (58075478820576).

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

27877233277872 is a wasteful number, since it uses less digits than its factorization.

27877233277872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174250259 (or 174250250 counting only the distinct ones).

The product of its digits is 1084253184, while the sum is 72.

The spelling of 27877233277872 in words is "twenty-seven trillion, eight hundred seventy-seven billion, two hundred thirty-three million, two hundred seventy-seven thousand, eight hundred seventy-two".