315275848560 has 640 divisors, whose sum is σ = 1145500016640. Its totient is φ = 79618277376.

The previous prime is 315275848483. The next prime is 315275848561. The reversal of 315275848560 is 65848572513.

315275848560 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 7 + 584 + 8 + 56 + 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 = 315275848497 and 315275848506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315275848561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 519399777 + ... + 519400383.

It is an arithmetic number, because the mean of its divisors is an integer number (1789843776).

Almost surely, 2^315275848560 is an apocalyptic number.

315275848560 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 315275848560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572750008320).

315275848560 is an abundant number, since it is smaller than the sum of its proper divisors (830224168080).

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

315275848560 is a wasteful number, since it uses less digits than its factorization.

315275848560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 315275848560 in words is "three hundred fifteen billion, two hundred seventy-five million, eight hundred forty-eight thousand, five hundred sixty".