13219780051968 has 528 divisors, whose sum is σ = 45683692908480. Its totient is φ = 3367786512384.

The previous prime is 13219780051927. The next prime is 13219780052023. The reversal of 13219780051968 is 86915008791231.

It is a super-2 number, since 2×13219780051968² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48484596 + ... + 48756492.

It is an arithmetic number, because the mean of its divisors is an integer number (86522145660).

Almost surely, 2^{13219780051968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13219780051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22841846454240).

13219780051968 is an abundant number, since it is smaller than the sum of its proper divisors (32463912856512).

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

13219780051968 is a wasteful number, since it uses less digits than its factorization.

13219780051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271970 (or 271945 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 13219780051968 in words is "thirteen trillion, two hundred nineteen billion, seven hundred eighty million, fifty-one thousand, nine hundred sixty-eight".