56209735344 has 360 divisors, whose sum is σ = 177028492368. Its totient is φ = 15322245120.

The previous prime is 56209735327. The next prime is 56209735349. The reversal of 56209735344 is 44353790265.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 56209735293 and 56209735302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56209735349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 310550934 + ... + 310551114.

Almost surely, 2^56209735344 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 56209735344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88514246184).

56209735344 is an abundant number, since it is smaller than the sum of its proper divisors (120818757024).

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

56209735344 is a wasteful number, since it uses less digits than its factorization.

56209735344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 56209735344 in words is "fifty-six billion, two hundred nine million, seven hundred thirty-five thousand, three hundred forty-four".