27720813924100 has 72 divisors (see below), whose sum is σ = 65626340957856. Its totient is φ = 10079740800000.

The previous prime is 27720813924059. The next prime is 27720813924157. The reversal of 27720813924100 is 142931802772.

It is a super-2 number, since 2×27720813924100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19556335 + ... + 20925865.

It is an arithmetic number, because the mean of its divisors is an integer number (911476957748).

Almost surely, 2^{27720813924100} is an apocalyptic number.

27720813924100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27720813924100 is an abundant number, since it is smaller than the sum of its proper divisors (37905527033756).

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

27720813924100 is a wasteful number, since it uses less digits than its factorization.

27720813924100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387957 (or 1387950 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 27720813924100 in words is "twenty-seven trillion, seven hundred twenty billion, eight hundred thirteen million, nine hundred twenty-four thousand, one hundred".