315360200000 has 168 divisors, whose sum is σ = 828211225464. Its totient is φ = 118722560000.

The previous prime is 315360199919. The next prime is 315360200069. The reversal of 315360200000 is 2063513.

It can be written as a sum of positive squares in 12 ways, for example, as 311435428096 + 3924771904 = 558064^2 + 62648^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3353624 + ... + 3446376.

It is an arithmetic number, because the mean of its divisors is an integer number (4929828723).

Almost surely, 2^315360200000 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 315360200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414105612732).

315360200000 is an abundant number, since it is smaller than the sum of its proper divisors (512851025464).

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

315360200000 is an frugal number, since it uses more digits than its factorization.

315360200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92807 (or 92777 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 315360200000 its reverse (2063513), we get a palindrome (315362263513).

The spelling of 315360200000 in words is "three hundred fifteen billion, three hundred sixty million, two hundred thousand".