27731642512 has 60 divisors (see below), whose sum is σ = 62604703980. Its totient is φ = 11865520128.

The previous prime is 27731642507. The next prime is 27731642537. The reversal of 27731642512 is 21524613772.

It can be written as a sum of positive squares in 2 ways, for example, as 919544976 + 26812097536 = 30324^2 + 163744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455064 + ... + 512392.

It is an arithmetic number, because the mean of its divisors is an integer number (1043411733).

Almost surely, 2^27731642512 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 27731642512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31302351990).

27731642512 is an abundant number, since it is smaller than the sum of its proper divisors (34873061468).

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

27731642512 is a wasteful number, since it uses less digits than its factorization.

27731642512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57968 (or 57955 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The spelling of 27731642512 in words is "twenty-seven billion, seven hundred thirty-one million, six hundred forty-two thousand, five hundred twelve".