56856443616 has 288 divisors, whose sum is σ = 195558965280. Its totient is φ = 16021297152.

The previous prime is 56856443549. The next prime is 56856443617. The reversal of 56856443616 is 61634465865.

56856443616 is a `hidden beast` number, since 5 + 68 + 564 + 4 + 3 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56856443617) 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 47 ways as a sum of consecutive naturals, for example, 3081330 + ... + 3099726.

It is an arithmetic number, because the mean of its divisors is an integer number (679024185).

Almost surely, 2^56856443616 is an apocalyptic number.

56856443616 is a gapful number since it is divisible by the number (56) 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 56856443616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97779482640).

56856443616 is an abundant number, since it is smaller than the sum of its proper divisors (138702521664).

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

56856443616 is a wasteful number, since it uses less digits than its factorization.

56856443616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18503 (or 18482 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 56856443616 in words is "fifty-six billion, eight hundred fifty-six million, four hundred forty-three thousand, six hundred sixteen".