27144684990900 has 108 divisors (see below), whose sum is σ = 89561586441600. Its totient is φ = 6857604624960.

The previous prime is 27144684990887. The next prime is 27144684990931. The reversal of 27144684990900 is 909948644172.

27144684990900 is a `hidden beast` number, since 2 + 7 + 14 + 46 + 8 + 499 + 0 + 90 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 793687140 + ... + 793721339.

Almost surely, 2^{27144684990900} is an apocalyptic number.

27144684990900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27144684990900 is an abundant number, since it is smaller than the sum of its proper divisors (62416901450700).

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

27144684990900 is a wasteful number, since it uses less digits than its factorization.

27144684990900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587408518 (or 1587408508 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 27144684990900 in words is "twenty-seven trillion, one hundred forty-four billion, six hundred eighty-four million, nine hundred ninety thousand, nine hundred".