16819960704 has 128 divisors (see below), whose sum is σ = 45872386560. Its totient is φ = 5457408000.

The previous prime is 16819960699. The next prime is 16819960723. The reversal of 16819960704 is 40706991861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×16819960704² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8988889 + ... + 8990759.

It is an arithmetic number, because the mean of its divisors is an integer number (358378020).

Almost surely, 2^16819960704 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 16819960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22936193280).

16819960704 is an abundant number, since it is smaller than the sum of its proper divisors (29052425856).

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

16819960704 is a wasteful number, since it uses less digits than its factorization.

16819960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 16819960704 in words is "sixteen billion, eight hundred nineteen million, nine hundred sixty thousand, seven hundred four".