27791266378900 has 36 divisors (see below), whose sum is σ = 60313292458300. Its totient is φ = 11115355507200.

The previous prime is 27791266378829. The next prime is 27791266378907. The reversal of 27791266378900 is 987366219772.

It can be written as a sum of positive squares in 6 ways, for example, as 8787560641924 + 19003705736976 = 2964382^2 + 4359324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27791266378907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13417125 + ... + 15349324.

Almost surely, 2^{27791266378900} is an apocalyptic number.

27791266378900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27791266378900 is an abundant number, since it is smaller than the sum of its proper divisors (32522026079400).

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

27791266378900 is a wasteful number, since it uses less digits than its factorization.

27791266378900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28776124 (or 28776117 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 67.

The spelling of 27791266378900 in words is "twenty-seven trillion, seven hundred ninety-one billion, two hundred sixty-six million, three hundred seventy-eight thousand, nine hundred".