57746261677567 has 2 divisors, whose sum is σ = 57746261677568. Its totient is φ = 57746261677566.

The previous prime is 57746261677549. The next prime is 57746261677579. The reversal of 57746261677567 is 76577616264775.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57746261677567 is a prime.

It is a super-2 number, since 2×57746261677567² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57746261677493 and 57746261677502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57746261677537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28873130838783 + 28873130838784.

It is an arithmetic number, because the mean of its divisors is an integer number (28873130838784).

Almost surely, 2^{57746261677567} is an apocalyptic number.

57746261677567 is a deficient number, since it is larger than the sum of its proper divisors (1).

57746261677567 is an equidigital number, since it uses as much as digits as its factorization.

57746261677567 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4356374400, while the sum is 76.

The spelling of 57746261677567 in words is "fifty-seven trillion, seven hundred forty-six billion, two hundred sixty-one million, six hundred seventy-seven thousand, five hundred sixty-seven".