19813958648596 has 96 divisors (see below), whose sum is σ = 41840156639232. Its totient is φ = 8032844649600.

The previous prime is 19813958648573. The next prime is 19813958648623. The reversal of 19813958648596 is 69584685931891.

It is a super-3 number, since 3×19813958648596³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6005061 + ... + 8699923.

It is an arithmetic number, because the mean of its divisors is an integer number (435834964992).

Almost surely, 2^{19813958648596} 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 19813958648596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20920078319616).

19813958648596 is an abundant number, since it is smaller than the sum of its proper divisors (22026197990636).

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

19813958648596 is a wasteful number, since it uses less digits than its factorization.

19813958648596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695109 (or 2695107 counting only the distinct ones).

The product of its digits is 4031078400, while the sum is 82.

The spelling of 19813958648596 in words is "nineteen trillion, eight hundred thirteen billion, nine hundred fifty-eight million, six hundred forty-eight thousand, five hundred ninety-six".