19834225306506 has 128 divisors (see below), whose sum is σ = 49552754711040. Its totient is φ = 5834849416704.

The previous prime is 19834225306487. The next prime is 19834225306531. The reversal of 19834225306506 is 60560352243891.

It is a happy number.

19834225306506 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 42 + 2 + 530 + 65 + 0 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35453550 + ... + 36008646.

It is an arithmetic number, because the mean of its divisors is an integer number (387130896180).

Almost surely, 2^{19834225306506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19834225306506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24776377355520).

19834225306506 is an abundant number, since it is smaller than the sum of its proper divisors (29718529404534).

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

19834225306506 is a wasteful number, since it uses less digits than its factorization.

19834225306506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557357 (or 557351 counting only the distinct ones).

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

The spelling of 19834225306506 in words is "nineteen trillion, eight hundred thirty-four billion, two hundred twenty-five million, three hundred six thousand, five hundred six".