19277824985104 has 135 divisors (see below), whose sum is σ = 43701084184023. Its totient is φ = 8214242512896.

The previous prime is 19277824985101. The next prime is 19277824985113. The reversal of 19277824985104 is 40158942877291.

The square root of 19277824985104 is 4390652.

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 4338672370704 + 14939152614400 = 2082948^2 + 3865120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19277824985104.

It is not an unprimeable number, because it can be changed into a prime (19277824985101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 28644613312 + ... + 28644613984.

Almost surely, 2^{19277824985104} is an apocalyptic number.

19277824985104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19277824985104 is the 4390652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19277824985104

19277824985104 is an abundant number, since it is smaller than the sum of its proper divisors (24423259198919).

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

19277824985104 is an frugal number, since it uses more digits than its factorization.

19277824985104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 67.

The spelling of 19277824985104 in words is "nineteen trillion, two hundred seventy-seven billion, eight hundred twenty-four million, nine hundred eighty-five thousand, one hundred four".