12819535538688 has 200 divisors, whose sum is σ = 38289706266240. Its totient is φ = 4270189086720.

The previous prime is 12819535538647. The next prime is 12819535538731. The reversal of 12819535538688 is 88683553591821.

12819535538688 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 9 + 5 + 3 + 5 + 538 + 6 + 88 = 666.

It is a super-2 number, since 2×12819535538688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59570803 + ... + 59785613.

Almost surely, 2^{12819535538688} is an apocalyptic number.

12819535538688 is a gapful number since it is divisible by the number (18) 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 12819535538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19144853133120).

12819535538688 is an abundant number, since it is smaller than the sum of its proper divisors (25470170727552).

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

12819535538688 is an equidigital number, since it uses as much as digits as its factorization.

12819535538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216280 (or 216255 counting only the distinct ones).

The product of its digits is 497664000, while the sum is 72.

The spelling of 12819535538688 in words is "twelve trillion, eight hundred nineteen billion, five hundred thirty-five million, five hundred thirty-eight thousand, six hundred eighty-eight".