57330480480 has 384 divisors, whose sum is σ = 229935283200. Its totient is φ = 11678736384.

The previous prime is 57330480439. The next prime is 57330480497. The reversal of 57330480480 is 8408403375.

It is a super-2 number, since 2×57330480480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1244091 + ... + 1289349.

It is an arithmetic number, because the mean of its divisors is an integer number (598789800).

Almost surely, 2^57330480480 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 57330480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114967641600).

57330480480 is an abundant number, since it is smaller than the sum of its proper divisors (172604802720).

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

57330480480 is a wasteful number, since it uses less digits than its factorization.

57330480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45326 (or 45318 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 57330480480 in words is "fifty-seven billion, three hundred thirty million, four hundred eighty thousand, four hundred eighty".