57245207328 has 192 divisors, whose sum is σ = 168829194240. Its totient is φ = 18869760000.

The previous prime is 57245207317. The next prime is 57245207339. The reversal of 57245207328 is 82370254275.

57245207328 is a `hidden beast` number, since 57 + 2 + 4 + 520 + 73 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57245207317) and next prime (57245207339).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44000278 + ... + 44001578.

It is an arithmetic number, because the mean of its divisors is an integer number (879318720).

Almost surely, 2^57245207328 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 57245207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84414597120).

57245207328 is an abundant number, since it is smaller than the sum of its proper divisors (111583986912).

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

57245207328 is a wasteful number, since it uses less digits than its factorization.

57245207328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 57245207328 in words is "fifty-seven billion, two hundred forty-five million, two hundred seven thousand, three hundred twenty-eight".