57636642121101 has 24 divisors (see below), whose sum is σ = 89868227604480. Its totient is φ = 35486428328736.

The previous prime is 57636642121049. The next prime is 57636642121109. The reversal of 57636642121101 is 10112124663675.

It is a happy number.

57636642121101 is a `hidden beast` number, since 5 + 7 + 6 + 3 + 6 + 6 + 421 + 211 + 0 + 1 = 666.

57636642121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57636642121101 - 2¹⁰ = 57636642120077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57636642121109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4800647181 + ... + 4800659186.

It is an arithmetic number, because the mean of its divisors is an integer number (3744509483520).

Almost surely, 2^{57636642121101} is an apocalyptic number.

It is an amenable number.

57636642121101 is a deficient number, since it is larger than the sum of its proper divisors (32231585483379).

57636642121101 is a wasteful number, since it uses less digits than its factorization.

57636642121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601306425 (or 9601306422 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 57636642121101 its reverse (10112124663675), we get a palindrome (67748766784776).

The spelling of 57636642121101 in words is "fifty-seven trillion, six hundred thirty-six billion, six hundred forty-two million, one hundred twenty-one thousand, one hundred one".