27431102568120 has 128 divisors (see below), whose sum is σ = 82438453347840. Its totient is φ = 7302064089600.

The previous prime is 27431102568097. The next prime is 27431102568127. The reversal of 27431102568120 is 2186520113472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27431102568127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357831795 + ... + 357908445.

It is an arithmetic number, because the mean of its divisors is an integer number (644050416780).

Almost surely, 2^{27431102568120} is an apocalyptic number.

27431102568120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27431102568120 is an abundant number, since it is smaller than the sum of its proper divisors (55007350779720).

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

27431102568120 is a wasteful number, since it uses less digits than its factorization.

27431102568120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81885 (or 81881 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 27431102568120 in words is "twenty-seven trillion, four hundred thirty-one billion, one hundred two million, five hundred sixty-eight thousand, one hundred twenty".