13112157199680 has 1792 divisors, whose sum is σ = 58408723537920. Its totient is φ = 2689995571200.

The previous prime is 13112157199663. The next prime is 13112157199753. The reversal of 13112157199680 is 8699175121131.

13112157199680 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 1 + 571 + 9 + 9 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26705004235 + ... + 26705004725.

It is an arithmetic number, because the mean of its divisors is an integer number (32594153760).

Almost surely, 2^{13112157199680} is an apocalyptic number.

13112157199680 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 13112157199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29204361768960).

13112157199680 is an abundant number, since it is smaller than the sum of its proper divisors (45296566338240).

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

13112157199680 is a wasteful number, since it uses less digits than its factorization.

13112157199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 13112157199680 in words is "thirteen trillion, one hundred twelve billion, one hundred fifty-seven million, one hundred ninety-nine thousand, six hundred eighty".