57540367760 has 40 divisors (see below), whose sum is σ = 139597940160. Its totient is φ = 22015444352.

The previous prime is 57540367751. The next prime is 57540367763. The reversal of 57540367760 is 6776304575.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 57540367699 and 57540367708.

It is not an unprimeable number, because it can be changed into a prime (57540367763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15634130 + ... + 15637809.

It is an arithmetic number, because the mean of its divisors is an integer number (3489948504).

Almost surely, 2^57540367760 is an apocalyptic number.

It is an amenable number.

57540367760 is an abundant number, since it is smaller than the sum of its proper divisors (82057572400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57540367760 is a wasteful number, since it uses less digits than its factorization.

57540367760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31271975 (or 31271969 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 50.

The spelling of 57540367760 in words is "fifty-seven billion, five hundred forty million, three hundred sixty-seven thousand, seven hundred sixty".