57157572006765 has 48 divisors (see below), whose sum is σ = 105077855261808. Its totient is φ = 28642476883968.

The previous prime is 57157572006727. The next prime is 57157572006767. The reversal of 57157572006765 is 56760027575175.

57157572006765 is a `hidden beast` number, since 5 + 7 + 1 + 57 + 572 + 0 + 0 + 6 + 7 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4235351652009 + 52922220354756 = 2057997^2 + 7274766^2 .

It is not a de Polignac number, because 57157572006765 - 2¹⁷ = 57157571875693 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57157572006767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62544484 + ... + 63451773.

It is an arithmetic number, because the mean of its divisors is an integer number (2189121984621).

Almost surely, 2^{57157572006765} is an apocalyptic number.

It is an amenable number.

57157572006765 is a deficient number, since it is larger than the sum of its proper divisors (47920283255043).

57157572006765 is a wasteful number, since it uses less digits than its factorization.

57157572006765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125996878 (or 125996875 counting only the distinct ones).

The product of its (nonzero) digits is 108045000, while the sum is 63.

The spelling of 57157572006765 in words is "fifty-seven trillion, one hundred fifty-seven billion, five hundred seventy-two million, six thousand, seven hundred sixty-five".