12494681256960 has 2640 divisors, whose sum is σ = 54267944290560. Its totient is φ = 2738983403520.

The previous prime is 12494681256947. The next prime is 12494681256973. The reversal of 12494681256960 is 6965218649421.

12494681256960 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 4 + 6 + 8 + 1 + 2 + 569 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (12494681256947) and next prime (12494681256973).

It is a super-2 number, since 2×12494681256960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69031388070 + ... + 69031388250.

It is an arithmetic number, because the mean of its divisors is an integer number (20556039504).

Almost surely, 2^{12494681256960} is an apocalyptic number.

12494681256960 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 12494681256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27133972145280).

12494681256960 is an abundant number, since it is smaller than the sum of its proper divisors (41773263033600).

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

12494681256960 is a wasteful number, since it uses less digits than its factorization.

12494681256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 12494681256960 in words is "twelve trillion, four hundred ninety-four billion, six hundred eighty-one million, two hundred fifty-six thousand, nine hundred sixty".