19856920219136 has 960 divisors, whose sum is σ = 55337854150656. Its totient is φ = 6907841740800.

The previous prime is 19856920219121. The next prime is 19856920219229. The reversal of 19856920219136 is 63191202965891.

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 95 ways as a sum of consecutive naturals, for example, 42887516441 + ... + 42887516903.

Almost surely, 2^{19856920219136} is an apocalyptic number.

19856920219136 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 19856920219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27668927075328).

19856920219136 is an abundant number, since it is smaller than the sum of its proper divisors (35480933931520).

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

19856920219136 is a wasteful number, since it uses less digits than its factorization.

19856920219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 62.

The spelling of 19856920219136 in words is "nineteen trillion, eight hundred fifty-six billion, nine hundred twenty million, two hundred nineteen thousand, one hundred thirty-six".