2713129363560 has 256 divisors, whose sum is σ = 10149193728000. Its totient is φ = 563690188800.

The previous prime is 2713129363541. The next prime is 2713129363561. The reversal of 2713129363560 is 653639213172.

2713129363560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2713129363560² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2713129363561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89141545 + ... + 89171975.

It is an arithmetic number, because the mean of its divisors is an integer number (39645288000).

Almost surely, 2^{2713129363560} is an apocalyptic number.

2713129363560 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 2713129363560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074596864000).

2713129363560 is an abundant number, since it is smaller than the sum of its proper divisors (7436064364440).

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

2713129363560 is a wasteful number, since it uses less digits than its factorization.

2713129363560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40112 (or 40108 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 2713129363560 in words is "two trillion, seven hundred thirteen billion, one hundred twenty-nine million, three hundred sixty-three thousand, five hundred sixty".