27431814192 has 120 divisors (see below), whose sum is σ = 74433294000. Its totient is φ = 8703014400.

The previous prime is 27431814191. The next prime is 27431814211. The reversal of 27431814192 is 29141813472.

It is a super-2 number, since 2×27431814192² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27431814191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808934 + ... + 2818682.

It is an arithmetic number, because the mean of its divisors is an integer number (620277450).

Almost surely, 2^27431814192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27431814192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37216647000).

27431814192 is an abundant number, since it is smaller than the sum of its proper divisors (47001479808).

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

27431814192 is a wasteful number, since it uses less digits than its factorization.

27431814192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9846 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The spelling of 27431814192 in words is "twenty-seven billion, four hundred thirty-one million, eight hundred fourteen thousand, one hundred ninety-two".