19942416864 has 96 divisors (see below), whose sum is σ = 58441582080. Its totient is φ = 6615907200.

The previous prime is 19942416847. The next prime is 19942416941. The reversal of 19942416864 is 46861424991.

It is a tau number, because it is divible by the number of its divisors (96).

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 a self number, because there is not a number n which added to its sum of digits gives 19942416864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127609 + ... + 236999.

It is an arithmetic number, because the mean of its divisors is an integer number (608766480).

Almost surely, 2^19942416864 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 19942416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29220791040).

19942416864 is an abundant number, since it is smaller than the sum of its proper divisors (38499165216).

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

19942416864 is a wasteful number, since it uses less digits than its factorization.

19942416864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109621 (or 109607 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 19942416864 in words is "nineteen billion, nine hundred forty-two million, four hundred sixteen thousand, eight hundred sixty-four".