56820216768 has 112 divisors (see below), whose sum is σ = 171926219520. Its totient is φ = 16223698944.

The previous prime is 56820216767. The next prime is 56820216799. The reversal of 56820216768 is 86761202865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 56820216768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56820216767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2162880 + ... + 2188992.

Almost surely, 2^56820216768 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 56820216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85963109760).

56820216768 is an abundant number, since it is smaller than the sum of its proper divisors (115106002752).

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

56820216768 is a wasteful number, since it uses less digits than its factorization.

56820216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27754 (or 27744 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 56820216768 in words is "fifty-six billion, eight hundred twenty million, two hundred sixteen thousand, seven hundred sixty-eight".