57855787968 has 168 divisors, whose sum is σ = 177114972160. Its totient is φ = 16609190400.

The previous prime is 57855787967. The next prime is 57855788027. The reversal of 57855787968 is 86978755875.

It is a self number, because there is not a number n which added to its sum of digits gives 57855787968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57855787967) 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 23 ways as a sum of consecutive naturals, for example, 375873 + ... + 506943.

Almost surely, 2^57855787968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57855787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88557486080).

57855787968 is an abundant number, since it is smaller than the sum of its proper divisors (119259184192).

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

57855787968 is a wasteful number, since it uses less digits than its factorization.

57855787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131106 counting only the distinct ones).

The product of its digits is 1185408000, while the sum is 75.

The spelling of 57855787968 in words is "fifty-seven billion, eight hundred fifty-five million, seven hundred eighty-seven thousand, nine hundred sixty-eight".