27403916265625 has 21 divisors (see below), whose sum is σ = 34255274827651. Its totient is φ = 21922609525000.

The previous prime is 27403916265613. The next prime is 27403916265637. The reversal of 27403916265625 is 52656261930472.

It is a happy number.

The square root of 27403916265625 is 5234875.

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

It is an interprime number because it is at equal distance from previous prime (27403916265613) and next prime (27403916265637).

It can be written as a sum of positive squares in 3 ways, for example, as 24008461424649 + 3395454840976 = 4899843^2 + 1842676^2 .

It is not a de Polignac number, because 27403916265625 - 2¹³ = 27403916257433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27403916265625.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 654338436 + ... + 654380314.

Almost surely, 2^{27403916265625} is an apocalyptic number.

27403916265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27403916265625 is the 5234875-th square number.

27403916265625 is the 2617438-th centered octagonal number.

It is an amenable number.

27403916265625 is a deficient number, since it is larger than the sum of its proper divisors (6851358562026).

27403916265625 is an frugal number, since it uses more digits than its factorization.

27403916265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83788 (or 41884 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 27403916265625 in words is "twenty-seven trillion, four hundred three billion, nine hundred sixteen million, two hundred sixty-five thousand, six hundred twenty-five".