27431055013472 has 24 divisors (see below), whose sum is σ = 58914424972872. Its totient is φ = 12468661369600.

The previous prime is 27431055013451. The next prime is 27431055013559.

It is a happy number.

27431055013472 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27431055013472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38964566429 + ... + 38964567132.

It is an arithmetic number, because the mean of its divisors is an integer number (2454767707203).

Almost surely, 2^{27431055013472} is an apocalyptic number.

27431055013472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27431055013472 is an abundant number, since it is smaller than the sum of its proper divisors (31483369959400).

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

27431055013472 is a wasteful number, since it uses less digits than its factorization.

27431055013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77929133582 (or 77929133574 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

It can be divided in two parts, 2743105 and 5013472, that added together give a palindrome (7756577).

The spelling of 27431055013472 in words is "twenty-seven trillion, four hundred thirty-one billion, fifty-five million, thirteen thousand, four hundred seventy-two".