56519424 has 288 divisors, whose sum is σ = 195733440. Its totient is φ = 15925248.

The previous prime is 56519413. The next prime is 56519537. The reversal of 56519424 is 42491565.

56519424 is a `hidden beast` number, since 565 + 1 + 94 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (43200) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527534 + ... + 1527570.

It is an arithmetic number, because the mean of its divisors is an integer number (679630).

Almost surely, 2^56519424 is an apocalyptic number.

56519424 is a gapful number since it is divisible by the number (54) 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 56519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

56519424 is an abundant number, since it is smaller than the sum of its proper divisors (139214016).

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

56519424 is a wasteful number, since it uses less digits than its factorization.

56519424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 56519424 is about 7517.9401434169. The cubic root of 56519424 is about 383.7654818032.

The spelling of 56519424 in words is "fifty-six million, five hundred nineteen thousand, four hundred twenty-four".