13935557212160 has 192 divisors, whose sum is σ = 34175093097600. Its totient is φ = 5451390386176.

The previous prime is 13935557212151. The next prime is 13935557212177. The reversal of 13935557212160 is 6121275553931.

It is a junction number, because it is equal to n+sod(n) for n = 13935557212099 and 13935557212108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660786896 + ... + 660807984.

It is an arithmetic number, because the mean of its divisors is an integer number (177995276550).

Almost surely, 2^{13935557212160} is an apocalyptic number.

13935557212160 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 13935557212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087546548800).

13935557212160 is an abundant number, since it is smaller than the sum of its proper divisors (20239535885440).

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

13935557212160 is a wasteful number, since it uses less digits than its factorization.

13935557212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22536 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 50.

The spelling of 13935557212160 in words is "thirteen trillion, nine hundred thirty-five billion, five hundred fifty-seven million, two hundred twelve thousand, one hundred sixty".