13125783309660 has 192 divisors, whose sum is σ = 47326768957440. Its totient is φ = 2957922938880.

The previous prime is 13125783309593. The next prime is 13125783309679. The reversal of 13125783309660 is 6690338752131.

13125783309660 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 578 + 3 + 3 + 0 + 9 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13125783309597 and 13125783309606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24185349 + ... + 24722108.

It is an arithmetic number, because the mean of its divisors is an integer number (246493588320).

Almost surely, 2^{13125783309660} is an apocalyptic number.

13125783309660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125783309660 is an abundant number, since it is smaller than the sum of its proper divisors (34200985647780).

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

13125783309660 is a wasteful number, since it uses less digits than its factorization.

13125783309660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48907553 (or 48907545 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13125783309660 in words is "thirteen trillion, one hundred twenty-five billion, seven hundred eighty-three million, three hundred nine thousand, six hundred sixty".