19834225306560 has 448 divisors, whose sum is σ = 84670478807040. Its totient is φ = 4266858332160.

The previous prime is 19834225306549. The next prime is 19834225306589. The reversal of 19834225306560 is 6560352243891.

It is a happy number.

19834225306560 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 4 + 22 + 53 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×19834225306560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19834225306497 and 19834225306506.

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 63 ways as a sum of consecutive naturals, for example, 8617336 + ... + 10673655.

It is an arithmetic number, because the mean of its divisors is an integer number (188996604480).

Almost surely, 2^{19834225306560} is an apocalyptic number.

19834225306560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19834225306560 is an abundant number, since it is smaller than the sum of its proper divisors (64836253500480).

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

19834225306560 is a wasteful number, since it uses less digits than its factorization.

19834225306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19291041 (or 19291025 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 19834225306560 in words is "nineteen trillion, eight hundred thirty-four billion, two hundred twenty-five million, three hundred six thousand, five hundred sixty".