27149355960 has 128 divisors (see below), whose sum is σ = 81955584000. Its totient is φ = 7194871296.

The previous prime is 27149355943. The next prime is 27149355967. The reversal of 27149355960 is 6955394172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27149355967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16266006 + ... + 16267674.

It is an arithmetic number, because the mean of its divisors is an integer number (640278000).

Almost surely, 2^27149355960 is an apocalyptic number.

27149355960 is a gapful number since it is divisible by the number (20) 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 27149355960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40977792000).

27149355960 is an abundant number, since it is smaller than the sum of its proper divisors (54806228040).

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

27149355960 is a wasteful number, since it uses less digits than its factorization.

27149355960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 27149355960 in words is "twenty-seven billion, one hundred forty-nine million, three hundred fifty-five thousand, nine hundred sixty".