19809182635424 has 144 divisors (see below), whose sum is σ = 48859622654976. Its totient is φ = 7836067008000.

The previous prime is 19809182635423. The next prime is 19809182635471. The reversal of 19809182635424 is 42453628190891.

19809182635424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (19809182635423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450688649 + ... + 450732599.

It is an arithmetic number, because the mean of its divisors is an integer number (339302935104).

Almost surely, 2^{19809182635424} is an apocalyptic number.

19809182635424 is a gapful number since it is divisible by the number (14) 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 19809182635424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429811327488).

19809182635424 is an abundant number, since it is smaller than the sum of its proper divisors (29050440019552).

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

19809182635424 is a wasteful number, since it uses less digits than its factorization.

19809182635424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66099 (or 66084 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 62.

The spelling of 19809182635424 in words is "nineteen trillion, eight hundred nine billion, one hundred eighty-two million, six hundred thirty-five thousand, four hundred twenty-four".