56224216160 has 96 divisors (see below), whose sum is σ = 152202903552. Its totient is φ = 19226396160.

The previous prime is 56224216157. The next prime is 56224216201. The reversal of 56224216160 is 6161242265.

It is a super-2 number, since 2×56224216160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56224216160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363425 + ... + 494495.

It is an arithmetic number, because the mean of its divisors is an integer number (1585446912).

Almost surely, 2^56224216160 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 56224216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76101451776).

56224216160 is an abundant number, since it is smaller than the sum of its proper divisors (95978687392).

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

56224216160 is a wasteful number, since it uses less digits than its factorization.

56224216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131476 (or 131468 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 56224216160 in words is "fifty-six billion, two hundred twenty-four million, two hundred sixteen thousand, one hundred sixty".