56321417216 has 56 divisors (see below), whose sum is σ = 112806457140. Its totient is φ = 28118089728.

The previous prime is 56321417183. The next prime is 56321417219. The reversal of 56321417216 is 61271412365.

It can be written as a sum of positive squares in 2 ways, for example, as 47043874816 + 9277542400 = 216896^2 + 96320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56321417216.

It is not an unprimeable number, because it can be changed into a prime (56321417219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5803280 + ... + 5812976.

Almost surely, 2^56321417216 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 56321417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56403228570).

56321417216 is an abundant number, since it is smaller than the sum of its proper divisors (56485039924).

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

56321417216 is an frugal number, since it uses more digits than its factorization.

56321417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10408 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The spelling of 56321417216 in words is "fifty-six billion, three hundred twenty-one million, four hundred seventeen thousand, two hundred sixteen".