19260652580416 has 189 divisors, whose sum is σ = 43699099488723. Its totient is φ = 8417870023680.

The previous prime is 19260652580387. The next prime is 19260652580417. The reversal of 19260652580416 is 61408525606291.

It is a happy number.

The square root of 19260652580416 is 4388696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 824827240000 + 18435825340416 = 908200^2 + 4293696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19260652580417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8672062186 + ... + 8672064406.

It is an arithmetic number, because the mean of its divisors is an integer number (231212166607).

Almost surely, 2^{19260652580416} is an apocalyptic number.

19260652580416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19260652580416 is the 4388696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19260652580416

19260652580416 is an abundant number, since it is smaller than the sum of its proper divisors (24438446908307).

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

19260652580416 is an frugal number, since it uses more digits than its factorization.

19260652580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 19260652580416 in words is "nineteen trillion, two hundred sixty billion, six hundred fifty-two million, five hundred eighty thousand, four hundred sixteen".