27713010360 has 768 divisors, whose sum is σ = 107794022400. Its totient is φ = 5657444352.

The previous prime is 27713010349. The next prime is 27713010389. The reversal of 27713010360 is 6301031772.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218212617 + ... + 218212743.

It is an arithmetic number, because the mean of its divisors is an integer number (140356800).

Almost surely, 2^27713010360 is an apocalyptic number.

27713010360 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 27713010360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53897011200).

27713010360 is an abundant number, since it is smaller than the sum of its proper divisors (80081012040).

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

27713010360 is a wasteful number, since it uses less digits than its factorization.

27713010360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The spelling of 27713010360 in words is "twenty-seven billion, seven hundred thirteen million, ten thousand, three hundred sixty".