56557043424 has 720 divisors, whose sum is σ = 212736585600. Its totient is φ = 14628708864.

The previous prime is 56557043381. The next prime is 56557043437. The reversal of 56557043424 is 42434075565.

56557043424 is a `hidden beast` number, since 56 + 5 + 570 + 4 + 3 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56557043424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55501987 + ... + 55503005.

It is an arithmetic number, because the mean of its divisors is an integer number (295467480).

Almost surely, 2^56557043424 is an apocalyptic number.

56557043424 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 56557043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106368292800).

56557043424 is an abundant number, since it is smaller than the sum of its proper divisors (156179542176).

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

56557043424 is a wasteful number, since it uses less digits than its factorization.

56557043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 56557043424 in words is "fifty-six billion, five hundred fifty-seven million, forty-three thousand, four hundred twenty-four".