13122788755968 has 200 divisors, whose sum is σ = 39172578115968. Its totient is φ = 4373759379456.

The previous prime is 13122788755919. The next prime is 13122788755991. The reversal of 13122788755968 is 86955788722131.

13122788755968 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 7 + 8 + 8 + 7 + 559 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13122788755896 and 13122788755905.

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, 593162955 + ... + 593185077.

Almost surely, 2^{13122788755968} is an apocalyptic number.

13122788755968 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 13122788755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586289057984).

13122788755968 is an abundant number, since it is smaller than the sum of its proper divisors (26049789360000).

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

13122788755968 is an equidigital number, since it uses as much as digits as its factorization.

13122788755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36456 (or 36431 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 13122788755968 in words is "thirteen trillion, one hundred twenty-two billion, seven hundred eighty-eight million, seven hundred fifty-five thousand, nine hundred sixty-eight".