19958113395936 has 288 divisors, whose sum is σ = 58269762270720. Its totient is φ = 6478204262400.

The previous prime is 19958113395917. The next prime is 19958113395943. The reversal of 19958113395936 is 63959331185991.

19958113395936 is a `hidden beast` number, since 1 + 9 + 9 + 581 + 1 + 3 + 3 + 9 + 5 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485802916 + ... + 485843996.

It is an arithmetic number, because the mean of its divisors is an integer number (202325563440).

Almost surely, 2^{19958113395936} is an apocalyptic number.

19958113395936 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 19958113395936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29134881135360).

19958113395936 is an abundant number, since it is smaller than the sum of its proper divisors (38311648874784).

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

19958113395936 is a wasteful number, since it uses less digits than its factorization.

19958113395936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41470 (or 41459 counting only the distinct ones).

The product of its digits is 212576400, while the sum is 72.

The spelling of 19958113395936 in words is "nineteen trillion, nine hundred fifty-eight billion, one hundred thirteen million, three hundred ninety-five thousand, nine hundred thirty-six".