19788084624400 has 45 divisors (see below), whose sum is σ = 47541087055741. Its totient is φ = 7915198262720.

The previous prime is 19788084624379. The next prime is 19788084624433. The reversal of 19788084624400 is 442648088791.

The square root of 19788084624400 is 4448380.

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

It can be written as a sum of positive squares in only one way, i.e., 7123710464784 + 12664374159616 = 2669028^2 + 3558704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88856391 + ... + 89078809.

Almost surely, 2^{19788084624400} is an apocalyptic number.

19788084624400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19788084624400 is the 4448380-th square number.

It is an amenable number.

19788084624400 is an abundant number, since it is smaller than the sum of its proper divisors (27753002431341).

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

19788084624400 is an frugal number, since it uses more digits than its factorization.

19788084624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444856 (or 222426 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 61.

The spelling of 19788084624400 in words is "nineteen trillion, seven hundred eighty-eight billion, eighty-four million, six hundred twenty-four thousand, four hundred".