10814760977057 has 16 divisors (see below), whose sum is σ = 11214184713984. Its totient is φ = 10422281520000.

The previous prime is 10814760977051. The next prime is 10814760977063. The reversal of 10814760977057 is 75077906741801.

It is an interprime number because it is at equal distance from previous prime (10814760977051) and next prime (10814760977063).

It is a cyclic number.

It is not a de Polignac number, because 10814760977057 - 2¹⁸ = 10814760714913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10814760977051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244963 + ... + 4814504.

It is an arithmetic number, because the mean of its divisors is an integer number (700886544624).

Almost surely, 2^{10814760977057} is an apocalyptic number.

It is an amenable number.

10814760977057 is a deficient number, since it is larger than the sum of its proper divisors (399423736927).

10814760977057 is a wasteful number, since it uses less digits than its factorization.

10814760977057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060040.

The product of its (nonzero) digits is 20744640, while the sum is 62.

The spelling of 10814760977057 in words is "ten trillion, eight hundred fourteen billion, seven hundred sixty million, nine hundred seventy-seven thousand, fifty-seven".