57329345304 has 192 divisors, whose sum is σ = 200255328000. Its totient is φ = 14377224960.

The previous prime is 57329345303. The next prime is 57329345323. The reversal of 57329345304 is 40354392375.

57329345304 is a `hidden beast` number, since 57 + 3 + 293 + 4 + 5 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57329345304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57329345303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17514 + ... + 339065.

It is an arithmetic number, because the mean of its divisors is an integer number (1042996500).

Almost surely, 2^57329345304 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 57329345304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100127664000).

57329345304 is an abundant number, since it is smaller than the sum of its proper divisors (142925982696).

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

57329345304 is a wasteful number, since it uses less digits than its factorization.

57329345304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356638 (or 356631 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 57329345304 in words is "fifty-seven billion, three hundred twenty-nine million, three hundred forty-five thousand, three hundred four".