12697878816 has 360 divisors, whose sum is σ = 46004286636. Its totient is φ = 3413975040.

The previous prime is 12697878803. The next prime is 12697878827. The reversal of 12697878816 is 61887879621.

It can be written as a sum of positive squares in 2 ways, for example, as 11362707216 + 1335171600 = 106596^2 + 36540^2 .

It is a super-2 number, since 2×12697878816² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2156196 + ... + 2162076.

Almost surely, 2^12697878816 is an apocalyptic number.

12697878816 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 12697878816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23002143318).

12697878816 is an abundant number, since it is smaller than the sum of its proper divisors (33306407820).

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

12697878816 is a wasteful number, since it uses less digits than its factorization.

12697878816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5910 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 12697878816 in words is "twelve billion, six hundred ninety-seven million, eight hundred seventy-eight thousand, eight hundred sixteen".