57486352320 has 448 divisors, whose sum is σ = 206259379200. Its totient is φ = 15070924800.

The previous prime is 57486352277. The next prime is 57486352331. The reversal of 57486352320 is 2325368475.

57486352320 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 635 + 2 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 181344802 + ... + 181345118.

It is an arithmetic number, because the mean of its divisors is an integer number (460400400).

Almost surely, 2^57486352320 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 57486352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103129689600).

57486352320 is an abundant number, since it is smaller than the sum of its proper divisors (148773026880).

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

57486352320 is a wasteful number, since it uses less digits than its factorization.

57486352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 57486352320 in words is "fifty-seven billion, four hundred eighty-six million, three hundred fifty-two thousand, three hundred twenty".