56209735680 has 768 divisors, whose sum is σ = 224903537280. Its totient is φ = 11702108160.

The previous prime is 56209735661. The next prime is 56209735709. The reversal of 56209735680 is 8653790265.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813217265 + ... + 1813217295.

Almost surely, 2^56209735680 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 56209735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112451768640).

56209735680 is an abundant number, since it is smaller than the sum of its proper divisors (168693801600).

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

56209735680 is an equidigital number, since it uses as much as digits as its factorization.

56209735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 56209735680 in words is "fifty-six billion, two hundred nine million, seven hundred thirty-five thousand, six hundred eighty".