13219026151968 has 576 divisors, whose sum is σ = 48167524903680. Its totient is φ = 3472723279872.

The previous prime is 13219026151943. The next prime is 13219026151973. The reversal of 13219026151968 is 86915162091231.

13219026151968 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 9 + 0 + 2 + 61 + 519 + 68 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181820968 + ... + 181893656.

It is an arithmetic number, because the mean of its divisors is an integer number (83624175180).

Almost surely, 2^{13219026151968} is an apocalyptic number.

13219026151968 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 13219026151968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083762451840).

13219026151968 is an abundant number, since it is smaller than the sum of its proper divisors (34948498751712).

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

13219026151968 is a wasteful number, since it uses less digits than its factorization.

13219026151968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72991 (or 72971 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 13219026151968 in words is "thirteen trillion, two hundred nineteen billion, twenty-six million, one hundred fifty-one thousand, nine hundred sixty-eight".