56443751424 has 704 divisors, whose sum is σ = 189417916800. Its totient is φ = 16515072000.

The previous prime is 56443751423. The next prime is 56443751437. The reversal of 56443751424 is 42415734465.

56443751424 is a `hidden beast` number, since 564 + 4 + 3 + 75 + 14 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56443751424.

It is not an unprimeable number, because it can be changed into a prime (56443751423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 558848974 + ... + 558849074.

Almost surely, 2^56443751424 is an apocalyptic number.

56443751424 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 56443751424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94708958400).

56443751424 is an abundant number, since it is smaller than the sum of its proper divisors (132974165376).

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

56443751424 is a wasteful number, since it uses less digits than its factorization.

56443751424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 56443751424 in words is "fifty-six billion, four hundred forty-three million, seven hundred fifty-one thousand, four hundred twenty-four".