13705075360 has 24 divisors (see below), whose sum is σ = 32378240916. Its totient is φ = 5482030080.

The previous prime is 13705075303. The next prime is 13705075361. The reversal of 13705075360 is 6357050731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13564795024 + 140280336 = 116468^2 + 11844^2 .

It is not an unprimeable number, because it can be changed into a prime (13705075361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42828201 + ... + 42828520.

Almost surely, 2^13705075360 is an apocalyptic number.

13705075360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13705075360 is an abundant number, since it is smaller than the sum of its proper divisors (18673165556).

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

13705075360 is an equidigital number, since it uses as much as digits as its factorization.

13705075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85656736 (or 85656728 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 37.

The spelling of 13705075360 in words is "thirteen billion, seven hundred five million, seventy-five thousand, three hundred sixty".