19968872112 has 320 divisors, whose sum is σ = 69638400000. Its totient is φ = 5348229120.

The previous prime is 19968872087. The next prime is 19968872137. The reversal of 19968872112 is 21127886991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19968872087) and next prime (19968872137).

It is a super-2 number, since 2×19968872112² (a number of 21 digits) contains 22 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15987264 + ... + 15988512.

It is an arithmetic number, because the mean of its divisors is an integer number (217620000).

Almost surely, 2^19968872112 is an apocalyptic number.

19968872112 is a gapful number since it is divisible by the number (12) 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 19968872112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200000).

19968872112 is an abundant number, since it is smaller than the sum of its proper divisors (49669527888).

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

19968872112 is a wasteful number, since it uses less digits than its factorization.

19968872112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 19968872112 in words is "nineteen billion, nine hundred sixty-eight million, eight hundred seventy-two thousand, one hundred twelve".