2057656695561 has 96 divisors (see below), whose sum is σ = 3308812416000. Its totient is φ = 1273848907968.

The previous prime is 2057656695539. The next prime is 2057656695623. The reversal of 2057656695561 is 1655966567502.

It is a happy number.

2057656695561 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 6 + 5 + 6 + 69 + 5 + 561 = 666.

It is not a de Polignac number, because 2057656695561 - 2¹⁹ = 2057656171273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2057656699561) 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, 308075220 + ... + 308081898.

It is an arithmetic number, because the mean of its divisors is an integer number (34466796000).

Almost surely, 2^{2057656695561} is an apocalyptic number.

It is an amenable number.

2057656695561 is a deficient number, since it is larger than the sum of its proper divisors (1251155720439).

2057656695561 is a wasteful number, since it uses less digits than its factorization.

2057656695561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 2057656695561 in words is "two trillion, fifty-seven billion, six hundred fifty-six million, six hundred ninety-five thousand, five hundred sixty-one".