1057864817867 has 16 divisors (see below), whose sum is σ = 1260310544640. Its totient is φ = 875215639200.

The previous prime is 1057864817839. The next prime is 1057864817887. The reversal of 1057864817867 is 7687184687501.

It is a cyclic number.

It is not a de Polignac number, because 1057864817867 - 2²² = 1057860623563 is a prime.

It is a super-2 number, since 2×1057864817867² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1057864817797 and 1057864817806.

It is not an unprimeable number, because it can be changed into a prime (1057864817837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52086017 + ... + 52106322.

It is an arithmetic number, because the mean of its divisors is an integer number (78769409040).

Almost surely, 2^{1057864817867} is an apocalyptic number.

1057864817867 is a deficient number, since it is larger than the sum of its proper divisors (202445726773).

1057864817867 is a wasteful number, since it uses less digits than its factorization.

1057864817867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104192434.

The product of its (nonzero) digits is 126443520, while the sum is 68.

The spelling of 1057864817867 in words is "one trillion, fifty-seven billion, eight hundred sixty-four million, eight hundred seventeen thousand, eight hundred sixty-seven".