13570608025680 has 320 divisors, whose sum is σ = 43003113338880. Its totient is φ = 3539146770432.

The previous prime is 13570608025669. The next prime is 13570608025699. The reversal of 13570608025680 is 8652080607531.

It is a happy number.

It is a super-2 number, since 2×13570608025680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2455327077 + ... + 2455332603.

It is an arithmetic number, because the mean of its divisors is an integer number (134384729184).

Almost surely, 2^{13570608025680} is an apocalyptic number.

13570608025680 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 13570608025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21501556669440).

13570608025680 is an abundant number, since it is smaller than the sum of its proper divisors (29432505313200).

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

13570608025680 is a wasteful number, since it uses less digits than its factorization.

13570608025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 13570608025680 in words is "thirteen trillion, five hundred seventy billion, six hundred eight million, twenty-five thousand, six hundred eighty".