2711757579216 has 160 divisors (see below), whose sum is σ = 8080370918400. Its totient is φ = 767623633920.

The previous prime is 2711757579197. The next prime is 2711757579217. The reversal of 2711757579216 is 6129757571172.

2711757579216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2711757579216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711757579217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27196140 + ... + 27295668.

It is an arithmetic number, because the mean of its divisors is an integer number (50502318240).

Almost surely, 2^{2711757579216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2711757579216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040185459200).

2711757579216 is an abundant number, since it is smaller than the sum of its proper divisors (5368613339184).

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

2711757579216 is a wasteful number, since it uses less digits than its factorization.

2711757579216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100297 (or 100291 counting only the distinct ones).

The product of its digits is 12965400, while the sum is 60.

The spelling of 2711757579216 in words is "two trillion, seven hundred eleven billion, seven hundred fifty-seven million, five hundred seventy-nine thousand, two hundred sixteen".