27636012900 has 108 divisors (see below), whose sum is σ = 86681803572. Its totient is φ = 7364647680.

The previous prime is 27636012893. The next prime is 27636012983. The reversal of 27636012900 is 921063672.

27636012900 is a `hidden beast` number, since 2 + 7 + 6 + 360 + 1 + 290 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4921303104 + 22714709796 = 70152^2 + 150714^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1442182 + ... + 1461218.

Almost surely, 2^27636012900 is an apocalyptic number.

27636012900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27636012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43340901786).

27636012900 is an abundant number, since it is smaller than the sum of its proper divisors (59045790672).

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

27636012900 is a wasteful number, since it uses less digits than its factorization.

27636012900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20670 (or 20660 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 27636012900 in words is "twenty-seven billion, six hundred thirty-six million, twelve thousand, nine hundred".