1315368115200 has 1056 divisors, whose sum is σ = 5223983302400. Its totient is φ = 323202908160.

The previous prime is 1315368115189. The next prime is 1315368115241. The reversal of 1315368115200 is 25118635131.

It is a happy number.

1315368115200 is a `hidden beast` number, since 1 + 3 + 1 + 53 + 6 + 81 + 1 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485912247 + ... + 485914953.

Almost surely, 2^{1315368115200} is an apocalyptic number.

1315368115200 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 1315368115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611991651200).

1315368115200 is an abundant number, since it is smaller than the sum of its proper divisors (3908615187200).

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

1315368115200 is a wasteful number, since it uses less digits than its factorization.

1315368115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1315368115200 in words is "one trillion, three hundred fifteen billion, three hundred sixty-eight million, one hundred fifteen thousand, two hundred".