11893566177025 has 81 divisors (see below), whose sum is σ = 16969844822193. Its totient is φ = 8263648972800.

The previous prime is 11893566177011. The next prime is 11893566177041. The reversal of 11893566177025 is 52077166539811.

The square root of 11893566177025 is 3448705.

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

It can be written as a sum of positive squares in 40 ways, for example, as 3502950194689 + 8390615982336 = 1871617^2 + 2896656^2 .

It is not a de Polignac number, because 11893566177025 - 2¹³ = 11893566168833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3810817465 + ... + 3810820585.

Almost surely, 2^{11893566177025} is an apocalyptic number.

11893566177025 is the 3448705-th square number.

11893566177025 is the 1724353-rd centered octagonal number.

It is an amenable number.

11893566177025 is a deficient number, since it is larger than the sum of its proper divisors (5076278645168).

11893566177025 is an frugal number, since it uses more digits than its factorization.

11893566177025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 11893566177025 in words is "eleven trillion, eight hundred ninety-three billion, five hundred sixty-six million, one hundred seventy-seven thousand, twenty-five".