19983939715600 has 405 divisors, whose sum is σ = 57466859149287. Its totient is φ = 6658732362240.

The previous prime is 19983939715589. The next prime is 19983939715601. The reversal of 19983939715600 is 651793938991.

The square root of 19983939715600 is 4470340.

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 1897087513104 + 18086852202496 = 1377348^2 + 4252864^2 .

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 19983939715600.

It is not an unprimeable number, because it can be changed into a prime (19983939715601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23156360769 + ... + 23156361631.

Almost surely, 2^{19983939715600} is an apocalyptic number.

19983939715600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19983939715600 is the 4470340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19983939715600

19983939715600 is an abundant number, since it is smaller than the sum of its proper divisors (37482919433687).

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

19983939715600 is an frugal number, since it uses more digits than its factorization.

19983939715600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 70.

The spelling of 19983939715600 in words is "nineteen trillion, nine hundred eighty-three billion, nine hundred thirty-nine million, seven hundred fifteen thousand, six hundred".