1317320090880 has 1152 divisors, whose sum is σ = 4801303019520. Its totient is φ = 306409635840.

The previous prime is 1317320090869. The next prime is 1317320090899. The reversal of 1317320090880 is 880900237131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3731784784 + ... + 3731785136.

It is an arithmetic number, because the mean of its divisors is an integer number (4167797760).

Almost surely, 2^{1317320090880} is an apocalyptic number.

1317320090880 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 1317320090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400651509760).

1317320090880 is an abundant number, since it is smaller than the sum of its proper divisors (3483982928640).

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

1317320090880 is a wasteful number, since it uses less digits than its factorization.

1317320090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 1317320090880 in words is "one trillion, three hundred seventeen billion, three hundred twenty million, ninety thousand, eight hundred eighty".