12707162496 has 256 divisors, whose sum is σ = 43270848000. Its totient is φ = 3595954176.

The previous prime is 12707162491. The next prime is 12707162543. The reversal of 12707162496 is 69426170721.

12707162496 is a `hidden beast` number, since 12 + 7 + 0 + 7 + 1 + 624 + 9 + 6 = 666.

It is a super-2 number, since 2×12707162496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12707162491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2586090 + ... + 2590998.

It is an arithmetic number, because the mean of its divisors is an integer number (169026750).

Almost surely, 2^12707162496 is an apocalyptic number.

12707162496 is a gapful number since it is divisible by the number (16) 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 12707162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21635424000).

12707162496 is an abundant number, since it is smaller than the sum of its proper divisors (30563685504).

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

12707162496 is a wasteful number, since it uses less digits than its factorization.

12707162496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12707162496 in words is "twelve billion, seven hundred seven million, one hundred sixty-two thousand, four hundred ninety-six".