315080713360 has 360 divisors, whose sum is σ = 916563552696. Its totient is φ = 100387123200.

The previous prime is 315080713351. The next prime is 315080713399. The reversal of 315080713360 is 63317080513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8372982016 + 306707731344 = 91504^2 + 553812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74999260 + ... + 75003460.

Almost surely, 2^315080713360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315080713360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458281776348).

315080713360 is an abundant number, since it is smaller than the sum of its proper divisors (601482839336).

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

315080713360 is a wasteful number, since it uses less digits than its factorization.

315080713360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

Adding to 315080713360 its reverse (63317080513), we get a palindrome (378397793873).

The spelling of 315080713360 in words is "three hundred fifteen billion, eighty million, seven hundred thirteen thousand, three hundred sixty".