27808106900 has 144 divisors (see below), whose sum is σ = 69686706432. Its totient is φ = 9434880000.

The previous prime is 27808106863. The next prime is 27808106947. The reversal of 27808106900 is 960180872.

It is a super-2 number, since 2×27808106900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44069585 + ... + 44070215.

Almost surely, 2^27808106900 is an apocalyptic number.

27808106900 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 27808106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34843353216).

27808106900 is an abundant number, since it is smaller than the sum of its proper divisors (41878599532).

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

27808106900 is a wasteful number, since it uses less digits than its factorization.

27808106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 27808106900 in words is "twenty-seven billion, eight hundred eight million, one hundred six thousand, nine hundred".