2755715567360 has 1152 divisors, whose sum is σ = 8698405847040. Its totient is φ = 814576435200.

The previous prime is 2755715567357. The next prime is 2755715567377. The reversal of 2755715567360 is 637655175572.

It is a self number, because there is not a number n which added to its sum of digits gives 2755715567360.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8860821605 + ... + 8860821915.

It is an arithmetic number, because the mean of its divisors is an integer number (7550699520).

Almost surely, 2^{2755715567360} is an apocalyptic number.

2755715567360 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 2755715567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349202923520).

2755715567360 is an abundant number, since it is smaller than the sum of its proper divisors (5942690279680).

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

2755715567360 is a wasteful number, since it uses less digits than its factorization.

2755715567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 46305000, while the sum is 59.

The spelling of 2755715567360 in words is "two trillion, seven hundred fifty-five billion, seven hundred fifteen million, five hundred sixty-seven thousand, three hundred sixty".