1317076951680 has 896 divisors, whose sum is σ = 5569662182400. Its totient is φ = 291312599040.

The previous prime is 1317076951669. The next prime is 1317076951699. The reversal of 1317076951680 is 861596707131.

It is a tau number, because it is divible by the number of its divisors (896).

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

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 111 ways as a sum of consecutive naturals, for example, 101237016 + ... + 101250024.

Almost surely, 2^{1317076951680} is an apocalyptic number.

1317076951680 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 1317076951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784831091200).

1317076951680 is an abundant number, since it is smaller than the sum of its proper divisors (4252585230720).

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

1317076951680 is an equidigital number, since it uses as much as digits as its factorization.

1317076951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13084 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1317076951680 in words is "one trillion, three hundred seventeen billion, seventy-six million, nine hundred fifty-one thousand, six hundred eighty".