27940131360 has 768 divisors, whose sum is σ = 108132433920. Its totient is φ = 6715146240.

The previous prime is 27940131353. The next prime is 27940131413. The reversal of 27940131360 is 6313104972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144767424 + ... + 144767616.

It is an arithmetic number, because the mean of its divisors is an integer number (140797440).

Almost surely, 2^27940131360 is an apocalyptic number.

27940131360 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 27940131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54066216960).

27940131360 is an abundant number, since it is smaller than the sum of its proper divisors (80192302560).

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

27940131360 is a wasteful number, since it uses less digits than its factorization.

27940131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 27940131360 in words is "twenty-seven billion, nine hundred forty million, one hundred thirty-one thousand, three hundred sixty".