13747135544960 has 128 divisors (see below), whose sum is σ = 33033646592640. Its totient is φ = 5470546309120.

The previous prime is 13747135544957. The next prime is 13747135544977. The reversal of 13747135544960 is 6944553174731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13747135544960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198563150 + ... + 198632370.

It is an arithmetic number, because the mean of its divisors is an integer number (258075364005).

Almost surely, 2^{13747135544960} is an apocalyptic number.

13747135544960 is a gapful number since it is divisible by the number (10) 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 13747135544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516823296320).

13747135544960 is an abundant number, since it is smaller than the sum of its proper divisors (19286511047680).

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

13747135544960 is a wasteful number, since it uses less digits than its factorization.

13747135544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70834 (or 70822 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 59.

The spelling of 13747135544960 in words is "thirteen trillion, seven hundred forty-seven billion, one hundred thirty-five million, five hundred forty-four thousand, nine hundred sixty".