57783580101 has 48 divisors (see below), whose sum is σ = 91191063600. Its totient is φ = 35045277696.

The previous prime is 57783580093. The next prime is 57783580177. The reversal of 57783580101 is 10108538775.

57783580101 is a `hidden beast` number, since 57 + 7 + 8 + 3 + 580 + 10 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19855628100 + 37927952001 = 140910^2 + 194751^2 .

It is not a de Polignac number, because 57783580101 - 2³ = 57783580093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57783581101) 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, 3250405 + ... + 3268133.

It is an arithmetic number, because the mean of its divisors is an integer number (1899813825).

Almost surely, 2^57783580101 is an apocalyptic number.

It is an amenable number.

57783580101 is a deficient number, since it is larger than the sum of its proper divisors (33407483499).

57783580101 is a wasteful number, since it uses less digits than its factorization.

57783580101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18150 (or 18147 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 57783580101 in words is "fifty-seven billion, seven hundred eighty-three million, five hundred eighty thousand, one hundred one".