27788890162900 has 18 divisors (see below), whose sum is σ = 60301891653710. Its totient is φ = 11115556065120.

The previous prime is 27788890162879. The next prime is 27788890162909. The reversal of 27788890162900 is 926109888772.

It can be written as a sum of positive squares in 3 ways, for example, as 1826481972676 + 25962408190224 = 1351474^2 + 5095332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27788890162909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138944450715 + ... + 138944450914.

Almost surely, 2^{27788890162900} is an apocalyptic number.

27788890162900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27788890162900 is an abundant number, since it is smaller than the sum of its proper divisors (32513001490810).

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

27788890162900 is a wasteful number, since it uses less digits than its factorization.

27788890162900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277888901643 (or 277888901636 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 67.

The spelling of 27788890162900 in words is "twenty-seven trillion, seven hundred eighty-eight billion, eight hundred ninety million, one hundred sixty-two thousand, nine hundred".