13503125775360 has 704 divisors, whose sum is σ = 47840346473472. Its totient is φ = 3229130686464.

The previous prime is 13503125775289. The next prime is 13503125775413. The reversal of 13503125775360 is 6357752130531.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 8149139652 + ... + 8149141308.

Almost surely, 2^{13503125775360} is an apocalyptic number.

13503125775360 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 13503125775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920173236736).

13503125775360 is an abundant number, since it is smaller than the sum of its proper divisors (34337220698112).

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

13503125775360 is a wasteful number, since it uses less digits than its factorization.

13503125775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 48.

The spelling of 13503125775360 in words is "thirteen trillion, five hundred three billion, one hundred twenty-five million, seven hundred seventy-five thousand, three hundred sixty".