27674121888 has 144 divisors (see below), whose sum is σ = 91854846720. Its totient is φ = 7738633728.

The previous prime is 27674121887. The next prime is 27674121899. The reversal of 27674121888 is 88812147672.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27674121883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51283 + ... + 240786.

It is an arithmetic number, because the mean of its divisors is an integer number (637880880).

Almost surely, 2^27674121888 is an apocalyptic number.

27674121888 is a gapful number since it is divisible by the number (28) 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 27674121888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45927423360).

27674121888 is an abundant number, since it is smaller than the sum of its proper divisors (64180724832).

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

27674121888 is a wasteful number, since it uses less digits than its factorization.

27674121888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292139 (or 292128 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 27674121888 in words is "twenty-seven billion, six hundred seventy-four million, one hundred twenty-one thousand, eight hundred eighty-eight".