27731122432 has 144 divisors (see below), whose sum is σ = 64592035200. Its totient is φ = 11764924416.

The previous prime is 27731122387. The next prime is 27731122451. The reversal of 27731122432 is 23422113772.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427069 + ... + 2438467.

It is an arithmetic number, because the mean of its divisors is an integer number (448555800).

Almost surely, 2^27731122432 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 27731122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32296017600).

27731122432 is an abundant number, since it is smaller than the sum of its proper divisors (36860912768).

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

27731122432 is a wasteful number, since it uses less digits than its factorization.

27731122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11488 (or 11474 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The spelling of 27731122432 in words is "twenty-seven billion, seven hundred thirty-one million, one hundred twenty-two thousand, four hundred thirty-two".