57302727306 has 64 divisors (see below), whose sum is σ = 129457336320. Its totient is φ = 16749871040.

The previous prime is 57302727301. The next prime is 57302727319. The reversal of 57302727306 is 60372720375.

It is not an unprimeable number, because it can be changed into a prime (57302727301) 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 31 ways as a sum of consecutive naturals, for example, 2097571 + ... + 2124713.

It is an arithmetic number, because the mean of its divisors is an integer number (2022770880).

Almost surely, 2^57302727306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57302727306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64728668160).

57302727306 is an abundant number, since it is smaller than the sum of its proper divisors (72154609014).

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

57302727306 is a wasteful number, since it uses less digits than its factorization.

57302727306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28291.

The product of its (nonzero) digits is 370440, while the sum is 42.

It can be divided in two parts, 5730272 and 7306, that added together give a triangular number (5737578 = T₃₃₈₇).

The spelling of 57302727306 in words is "fifty-seven billion, three hundred two million, seven hundred twenty-seven thousand, three hundred six".