19834960084992 has 644 divisors, whose sum is σ = 64181232157000. Its totient is φ = 6090834051072.

The previous prime is 19834960084943. The next prime is 19834960085023. The reversal of 19834960084992 is 29948006943891.

19834960084992 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 4 + 9 + 600 + 8 + 4 + 9 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19834960084992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39749418759 + ... + 39749419257.

Almost surely, 2^{19834960084992} is an apocalyptic number.

19834960084992 is a gapful number since it is divisible by the number (12) 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 19834960084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32090616078500).

19834960084992 is an abundant number, since it is smaller than the sum of its proper divisors (44346272072008).

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

19834960084992 is an frugal number, since it uses more digits than its factorization.

19834960084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 19834960084992 in words is "nineteen trillion, eight hundred thirty-four billion, nine hundred sixty million, eighty-four thousand, nine hundred ninety-two".