13125794875560 has 384 divisors, whose sum is σ = 47516373964800. Its totient is φ = 3127140656640.

The previous prime is 13125794875517. The next prime is 13125794875607. The reversal of 13125794875560 is 6557849752131.

13125794875560 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 79 + 4 + 8 + 7 + 556 + 0 = 666.

It is a super-2 number, since 2×13125794875560² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10582159 + ... + 11757281.

It is an arithmetic number, because the mean of its divisors is an integer number (123740557200).

It is a 1-persistent number, because it is pandigital, but 2⋅13125794875560 = 26251589751120 is not.

Almost surely, 2^{13125794875560} is an apocalyptic number.

13125794875560 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 13125794875560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758186982400).

13125794875560 is an abundant number, since it is smaller than the sum of its proper divisors (34390579089240).

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

13125794875560 is a wasteful number, since it uses less digits than its factorization.

13125794875560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175253 (or 1175246 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 13125794875560 in words is "thirteen trillion, one hundred twenty-five billion, seven hundred ninety-four million, eight hundred seventy-five thousand, five hundred sixty".