12793682538 has 320 divisors, whose sum is σ = 36590400000. Its totient is φ = 3319481088.

The previous prime is 12793682519. The next prime is 12793682581. The reversal of 12793682538 is 83528639721.

12793682538 is a `hidden beast` number, since 1 + 2 + 79 + 36 + 8 + 2 + 538 = 666.

It is a super-2 number, since 2×12793682538² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4354560) is a multiple of the sum of its prime factors (336).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64289763 + ... + 64289961.

It is an arithmetic number, because the mean of its divisors is an integer number (114345000).

Almost surely, 2^12793682538 is an apocalyptic number.

12793682538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12793682538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200000).

12793682538 is an abundant number, since it is smaller than the sum of its proper divisors (23796717462).

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

12793682538 is a wasteful number, since it uses less digits than its factorization.

12793682538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 313 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12793682538 in words is "twelve billion, seven hundred ninety-three million, six hundred eighty-two thousand, five hundred thirty-eight".