12315582038760 has 2048 divisors, whose sum is σ = 54502090997760. Its totient is φ = 2140353331200.

The previous prime is 12315582038741. The next prime is 12315582038761. The reversal of 12315582038760 is 6783028551321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12315582038761) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16268932302 + ... + 16268933058.

It is an arithmetic number, because the mean of its divisors is an integer number (26612349120).

Almost surely, 2^{12315582038760} is an apocalyptic number.

12315582038760 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 12315582038760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27251045498880).

12315582038760 is an abundant number, since it is smaller than the sum of its proper divisors (42186508959000).

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

12315582038760 is a wasteful number, since it uses less digits than its factorization.

12315582038760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 12315582038760 in words is "twelve trillion, three hundred fifteen billion, five hundred eighty-two million, thirty-eight thousand, seven hundred sixty".