27106839984 has 160 divisors (see below), whose sum is σ = 82034035200. Its totient is φ = 7709630208.

The previous prime is 27106839941. The next prime is 27106840027. The reversal of 27106839984 is 48993860172.

It is an interprime number because it is at equal distance from previous prime (27106839941) and next prime (27106840027).

It is a super-2 number, since 2×27106839984² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3733702 + ... + 3740954.

It is an arithmetic number, because the mean of its divisors is an integer number (512712720).

Almost surely, 2^27106839984 is an apocalyptic number.

27106839984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27106839984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41017017600).

27106839984 is an abundant number, since it is smaller than the sum of its proper divisors (54927195216).

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

27106839984 is a wasteful number, since it uses less digits than its factorization.

27106839984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 27106839984 in words is "twenty-seven billion, one hundred six million, eight hundred thirty-nine thousand, nine hundred eighty-four".