11763768127225 has 27 divisors (see below), whose sum is σ = 15495993893901. Its totient is φ = 8857205904000.

The previous prime is 11763768127207. The next prime is 11763768127249. The reversal of 11763768127225 is 52272186736711.

The square root of 11763768127225 is 3429835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 275166340969 + 11488601786256 = 524563^2 + 3389484^2 .

It is not a de Polignac number, because 11763768127225 - 2³⁵ = 11729408388857 is a prime.

It is a super-2 number, since 2×11763768127225² (a number of 27 digits) contains 22 as substring.

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 11763768127225.

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, 291515800 + ... + 291556150.

Almost surely, 2^{11763768127225} is an apocalyptic number.

11763768127225 is the 3429835-th square number.

11763768127225 is the 1714918-th centered octagonal number.

It is an amenable number.

11763768127225 is a deficient number, since it is larger than the sum of its proper divisors (3732225766676).

11763768127225 is an frugal number, since it uses more digits than its factorization.

11763768127225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80746 (or 40373 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 58.

The spelling of 11763768127225 in words is "eleven trillion, seven hundred sixty-three billion, seven hundred sixty-eight million, one hundred twenty-seven thousand, two hundred twenty-five".