12507681852960 has 768 divisors, whose sum is σ = 48156277800960. Its totient is φ = 2667199610880.

The previous prime is 12507681852947. The next prime is 12507681853003. The reversal of 12507681852960 is 6925818670521.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12507681852894 and 12507681852903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2244332734 + ... + 2244338306.

It is an arithmetic number, because the mean of its divisors is an integer number (62703486720).

Almost surely, 2^{12507681852960} is an apocalyptic number.

12507681852960 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 12507681852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24078138900480).

12507681852960 is an abundant number, since it is smaller than the sum of its proper divisors (35648595948000).

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

12507681852960 is a wasteful number, since it uses less digits than its factorization.

12507681852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 12507681852960 in words is "twelve trillion, five hundred seven billion, six hundred eighty-one million, eight hundred fifty-two thousand, nine hundred sixty".