57601801728 has 160 divisors (see below), whose sum is σ = 173052971520. Its totient is φ = 18913720320.

The previous prime is 57601801727. The next prime is 57601801729. The reversal of 57601801728 is 82710810675.

It is a happy number.

57601801728 is a `hidden beast` number, since 5 + 7 + 601 + 8 + 0 + 17 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (57601801727) and next prime (57601801729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57601801723) 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 15 ways as a sum of consecutive naturals, for example, 895113 + ... + 957303.

It is an arithmetic number, because the mean of its divisors is an integer number (1081581072).

Almost surely, 2^57601801728 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 57601801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86526485760).

57601801728 is an abundant number, since it is smaller than the sum of its proper divisors (115451169792).

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

57601801728 is an equidigital number, since it uses as much as digits as its factorization.

57601801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62285 (or 62263 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

It can be divided in two parts, 57601 and 801728, that added together give a square (859329 = 927²).

The spelling of 57601801728 in words is "fifty-seven billion, six hundred one million, eight hundred one thousand, seven hundred twenty-eight".