57233848320 has 1344 divisors, whose sum is σ = 243628650720. Its totient is φ = 12740198400.

The previous prime is 57233848267. The next prime is 57233848327. The reversal of 57233848320 is 2384833275.

57233848320 is a `hidden beast` number, since 57 + 233 + 8 + 48 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57233848327) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1395947500 + ... + 1395947540.

Almost surely, 2^57233848320 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 57233848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121814325360).

57233848320 is an abundant number, since it is smaller than the sum of its proper divisors (186394802400).

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

57233848320 is a wasteful number, since it uses less digits than its factorization.

57233848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 57233848320 in words is "fifty-seven billion, two hundred thirty-three million, eight hundred forty-eight thousand, three hundred twenty".