27681431800 has 48 divisors (see below), whose sum is σ = 70210182600. Its totient is φ = 10065974400.

The previous prime is 27681431677. The next prime is 27681431821. The reversal of 27681431800 is 813418672.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6289035 + ... + 6293434.

Almost surely, 2^27681431800 is an apocalyptic number.

27681431800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27681431800 is an abundant number, since it is smaller than the sum of its proper divisors (42528750800).

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

27681431800 is a wasteful number, since it uses less digits than its factorization.

27681431800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12582496 (or 12582487 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 27681431800 in words is "twenty-seven billion, six hundred eighty-one million, four hundred thirty-one thousand, eight hundred".