57518496 has 144 divisors (see below), whose sum is σ = 189431424. Its totient is φ = 16215552.

The previous prime is 57518441. The next prime is 57518501. The reversal of 57518496 is 69481575.

57518496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207510 + ... + 207786.

It is an arithmetic number, because the mean of its divisors is an integer number (1315496).

Almost surely, 2^57518496 is an apocalyptic number.

57518496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57518496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94715712).

57518496 is an abundant number, since it is smaller than the sum of its proper divisors (131912928).

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

57518496 is a wasteful number, since it uses less digits than its factorization.

57518496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 57518496 is about 7584.0949361147. The cubic root of 57518496 is about 386.0135121940.

The spelling of 57518496 in words is "fifty-seven million, five hundred eighteen thousand, four hundred ninety-six".