19993309056 has 576 divisors, whose sum is σ = 72272304000. Its totient is φ = 5381489664.

The previous prime is 19993309027. The next prime is 19993309081. The reversal of 19993309056 is 65090339991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×19993309056² (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 junction number, because it is equal to n+sod(n) for n = 19993308993 and 19993309011.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 111694375 + ... + 111694553.

It is an arithmetic number, because the mean of its divisors is an integer number (125472750).

Almost surely, 2^19993309056 is an apocalyptic number.

19993309056 is a gapful number since it is divisible by the number (16) 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 19993309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36136152000).

19993309056 is an abundant number, since it is smaller than the sum of its proper divisors (52278994944).

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

19993309056 is an frugal number, since it uses more digits than its factorization.

19993309056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1771470, while the sum is 54.

The spelling of 19993309056 in words is "nineteen billion, nine hundred ninety-three million, three hundred nine thousand, fifty-six".