19712756409025 has 27 divisors (see below), whose sum is σ = 24530809459611. Its totient is φ = 15714280083840.

The previous prime is 19712756408999. The next prime is 19712756409041. The reversal of 19712756409025 is 52090465721791.

The square root of 19712756409025 is 4439905.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12279368581249 + 7433387827776 = 3504193^2 + 2726424^2 .

It is not a de Polignac number, because 19712756409025 - 2²³ = 19712748020417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6948449907 + ... + 6948452743.

Almost surely, 2^{19712756409025} is an apocalyptic number.

19712756409025 is the 4439905-th square number.

19712756409025 is the 2219953-rd centered octagonal number.

It is an amenable number.

19712756409025 is a deficient number, since it is larger than the sum of its proper divisors (4818053050586).

19712756409025 is an frugal number, since it uses more digits than its factorization.

19712756409025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 19712756409025 in words is "nineteen trillion, seven hundred twelve billion, seven hundred fifty-six million, four hundred nine thousand, twenty-five".