27849711168 has 448 divisors, whose sum is σ = 93554092800. Its totient is φ = 8068792320.

The previous prime is 27849711107. The next prime is 27849711179. The reversal of 27849711168 is 86111794872.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22883296 + ... + 22884512.

It is an arithmetic number, because the mean of its divisors is an integer number (208826100).

Almost surely, 2^27849711168 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 27849711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46777046400).

27849711168 is an abundant number, since it is smaller than the sum of its proper divisors (65704381632).

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

27849711168 is a wasteful number, since it uses less digits than its factorization.

27849711168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1299 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 27849711168 in words is "twenty-seven billion, eight hundred forty-nine million, seven hundred eleven thousand, one hundred sixty-eight".