13765065297552 has 60 divisors (see below), whose sum is σ = 38524531303440. Its totient is φ = 4588180415424.

The previous prime is 13765065297491. The next prime is 13765065297553. The reversal of 13765065297552 is 25579256056731.

13765065297552 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 50 + 6 + 5 + 29 + 7 + 552 = 666.

13765065297552 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 13765065297552.

It is not an unprimeable number, because it can be changed into a prime (13765065297553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2003703 + ... + 5616489.

It is an arithmetic number, because the mean of its divisors is an integer number (642075521724).

Almost surely, 2^{13765065297552} is an apocalyptic number.

13765065297552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13765065297552 is an abundant number, since it is smaller than the sum of its proper divisors (24759466005888).

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

13765065297552 is a wasteful number, since it uses less digits than its factorization.

13765065297552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639260 (or 3639251 counting only the distinct ones).

The product of its (nonzero) digits is 119070000, while the sum is 63.

The spelling of 13765065297552 in words is "thirteen trillion, seven hundred sixty-five billion, sixty-five million, two hundred ninety-seven thousand, five hundred fifty-two".