57115477764640 has 48 divisors (see below), whose sum is σ = 135092400730560. Its totient is φ = 22819594786560.

The previous prime is 57115477764623. The next prime is 57115477764649. The reversal of 57115477764640 is 4646777451175.

It is a happy number.

57115477764640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57115477764649) 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 7 ways as a sum of consecutive naturals, for example, 207645876 + ... + 207920755.

It is an arithmetic number, because the mean of its divisors is an integer number (2814425015220).

Almost surely, 2^{57115477764640} is an apocalyptic number.

It is an amenable number.

57115477764640 is an abundant number, since it is smaller than the sum of its proper divisors (77976922965920).

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

57115477764640 is a wasteful number, since it uses less digits than its factorization.

57115477764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415567505 (or 415567497 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 64.

The spelling of 57115477764640 in words is "fifty-seven trillion, one hundred fifteen billion, four hundred seventy-seven million, seven hundred sixty-four thousand, six hundred forty".