27800108600 has 96 divisors (see below), whose sum is σ = 71209884240. Its totient is φ = 10008960000.

The previous prime is 27800108597. The next prime is 27800108617. The reversal of 27800108600 is 680100872.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 159644 + ... + 284756.

Almost surely, 2^27800108600 is an apocalyptic number.

27800108600 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 27800108600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35604942120).

27800108600 is an abundant number, since it is smaller than the sum of its proper divisors (43409775640).

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

27800108600 is a wasteful number, since it uses less digits than its factorization.

27800108600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125241 (or 125232 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 27800108600 in words is "twenty-seven billion, eight hundred million, one hundred eight thousand, six hundred".