317480089006080 has 7020 divisors, whose sum is σ = 1583989730902656. Its totient is φ = 60576458342400.

The previous prime is 317480089006057. The next prime is 317480089006081. The reversal of 317480089006080 is 80600980084713.

317480089006080 is a `hidden beast` number, since 3 + 1 + 7 + 480 + 0 + 89 + 0 + 0 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (7020).

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

It is not an unprimeable number, because it can be changed into a prime (317480089006081) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1662199418785 + ... + 1662199418975.

Almost surely, 2^{317480089006080} is an apocalyptic number.

317480089006080 is a gapful number since it is divisible by the number (30) 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 317480089006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791994865451328).

317480089006080 is an abundant number, since it is smaller than the sum of its proper divisors (1266509641896576).

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

317480089006080 is a wasteful number, since it uses less digits than its factorization.

317480089006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 232 counting only the distinct ones).

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

The spelling of 317480089006080 in words is "three hundred seventeen trillion, four hundred eighty billion, eighty-nine million, six thousand, eighty".