10655551516257 has 12 divisors (see below), whose sum is σ = 15391393735380. Its totient is φ = 7103681836128.

The previous prime is 10655551516243. The next prime is 10655551516331. The reversal of 10655551516257 is 75261515555601.

10655551516257 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 5 + 5 + 1 + 5 + 1 + 625 + 7 = 666.

10655551516257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10644924174336 + 10627341921 = 3262656^2 + 103089^2 .

It is not a de Polignac number, because 10655551516257 - 2⁴ = 10655551516241 is a prime.

It is a super-2 number, since 2×10655551516257² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10655551516457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2465419 + ... + 5233487.

It is an arithmetic number, because the mean of its divisors is an integer number (1282616144615).

Almost surely, 2^{10655551516257} is an apocalyptic number.

It is an amenable number.

10655551516257 is a deficient number, since it is larger than the sum of its proper divisors (4735842219123).

10655551516257 is a wasteful number, since it uses less digits than its factorization.

10655551516257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195792 (or 3195789 counting only the distinct ones).

The product of its (nonzero) digits is 7875000, while the sum is 54.

The spelling of 10655551516257 in words is "ten trillion, six hundred fifty-five billion, five hundred fifty-one million, five hundred sixteen thousand, two hundred fifty-seven".