19788929825625 has 225 divisors, whose sum is σ = 39274240525531. Its totient is φ = 9924725664000.

The previous prime is 19788929825617. The next prime is 19788929825641. The reversal of 19788929825625 is 52652892988791.

The square root of 19788929825625 is 4448475.

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

19788929825625 is a `hidden beast` number, since 1 + 9 + 78 + 8 + 9 + 298 + 256 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9664009472601 + 10124920353024 = 3108699^2 + 3181968^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 19788929825625 - 2³ = 19788929825617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 17015416294 + ... + 17015417456.

Almost surely, 2^{19788929825625} is an apocalyptic number.

19788929825625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19788929825625 is the 4448475-th square number.

19788929825625 is the 2224238-th centered octagonal number.

It is an amenable number.

19788929825625 is a deficient number, since it is larger than the sum of its proper divisors (19485310699906).

19788929825625 is an frugal number, since it uses more digits than its factorization.

19788929825625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1188 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 81.

19788929825625 divided by its sum of digits (81) gives a square (244307775625 = 494275²).

The spelling of 19788929825625 in words is "nineteen trillion, seven hundred eighty-eight billion, nine hundred twenty-nine million, eight hundred twenty-five thousand, six hundred twenty-five".