1057404568311 has 96 divisors (see below), whose sum is σ = 1887501977088. Its totient is φ = 555479804160.

The previous prime is 1057404568309. The next prime is 1057404568313. The reversal of 1057404568311 is 1138654047501.

1057404568311 is a `hidden beast` number, since 1 + 0 + 5 + 74 + 0 + 4 + 568 + 3 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (1057404568309) and next prime (1057404568313).

It is not a de Polignac number, because 1057404568311 - 2¹ = 1057404568309 is a prime.

It is a super-2 number, since 2×1057404568311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057404568313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317441916 + ... + 317445246.

It is an arithmetic number, because the mean of its divisors is an integer number (19661478928).

Almost surely, 2^{1057404568311} is an apocalyptic number.

1057404568311 is a deficient number, since it is larger than the sum of its proper divisors (830097408777).

1057404568311 is a wasteful number, since it uses less digits than its factorization.

1057404568311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1057404568311 in words is "one trillion, fifty-seven billion, four hundred four million, five hundred sixty-eight thousand, three hundred eleven".