57351216384 has 216 divisors, whose sum is σ = 206160881472. Its totient is φ = 14896373760.

The previous prime is 57351216361. The next prime is 57351216389. The reversal of 57351216384 is 48361215375.

It is a happy number.

57351216384 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 1 + 2 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×57351216384³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57351216389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15772 + ... + 339044.

Almost surely, 2^57351216384 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 57351216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103080440736).

57351216384 is an abundant number, since it is smaller than the sum of its proper divisors (148809665088).

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

57351216384 is a wasteful number, since it uses less digits than its factorization.

57351216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323313 (or 323296 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 57351216384 in words is "fifty-seven billion, three hundred fifty-one million, two hundred sixteen thousand, three hundred eighty-four".