56593712448 has 336 divisors, whose sum is σ = 207049664640. Its totient is φ = 14925441024.

The previous prime is 56593712429. The next prime is 56593712459. The reversal of 56593712448 is 84421739565.

It is a happy number.

56593712448 is a `hidden beast` number, since 5 + 6 + 593 + 7 + 1 + 2 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56593712394 and 56593712403.

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 47 ways as a sum of consecutive naturals, for example, 1395238 + ... + 1435226.

It is an arithmetic number, because the mean of its divisors is an integer number (616219240).

Almost surely, 2^56593712448 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 56593712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103524832320).

56593712448 is an abundant number, since it is smaller than the sum of its proper divisors (150455952192).

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

56593712448 is a wasteful number, since it uses less digits than its factorization.

56593712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40036 (or 40014 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 56593712448 in words is "fifty-six billion, five hundred ninety-three million, seven hundred twelve thousand, four hundred forty-eight".