1317838682160 has 4800 divisors, whose sum is σ = 7057478292480. Its totient is φ = 219290664960.

The previous prime is 1317838682137. The next prime is 1317838682219. The reversal of 1317838682160 is 612868387131.

It is a happy number.

1317838682160 is a `hidden beast` number, since 1 + 3 + 178 + 386 + 82 + 16 + 0 = 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 = 1317838682097 and 1317838682106.

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 959 ways as a sum of consecutive naturals, for example, 35617261662 + ... + 35617261698.

Almost surely, 2^{1317838682160} is an apocalyptic number.

1317838682160 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 1317838682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528739146240).

1317838682160 is an abundant number, since it is smaller than the sum of its proper divisors (5739639610320).

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

1317838682160 is a wasteful number, since it uses less digits than its factorization.

1317838682160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1317838682160 in words is "one trillion, three hundred seventeen billion, eight hundred thirty-eight million, six hundred eighty-two thousand, one hundred sixty".