56205218916196 has 243 divisors, whose sum is σ = 120874228009857. Its totient is φ = 22800518737920.

The previous prime is 56205218916163. The next prime is 56205218916211. The reversal of 56205218916196 is 69161981250265.

The square root of 56205218916196 is 7497014.

It is a perfect power (a square), and thus also a powerful number.

56205218916196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 39215324181796 + 16989894734400 = 6262214^2 + 4121880^2 .

It is a super-2 number, since 2×56205218916196² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 159221583156 + ... + 159221583508.

Almost surely, 2^{56205218916196} is an apocalyptic number.

56205218916196 is the 7497014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56205218916196

56205218916196 is an abundant number, since it is smaller than the sum of its proper divisors (64669009093661).

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

56205218916196 is an equidigital number, since it uses as much as digits as its factorization.

56205218916196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The spelling of 56205218916196 in words is "fifty-six trillion, two hundred five billion, two hundred eighteen million, nine hundred sixteen thousand, one hundred ninety-six".