56220681600 has 288 divisors, whose sum is σ = 201351164040. Its totient is φ = 14936678400.

The previous prime is 56220681599. The next prime is 56220681637. The reversal of 56220681600 is 618602265.

56220681600 is a `hidden beast` number, since 562 + 20 + 68 + 16 + 0 + 0 = 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8089327 + ... + 8096273.

Almost surely, 2^56220681600 is an apocalyptic number.

56220681600 is a gapful number since it is divisible by the number (50) 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 56220681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100675582020).

56220681600 is an abundant number, since it is smaller than the sum of its proper divisors (145130482440).

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

56220681600 is a wasteful number, since it uses less digits than its factorization.

56220681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 56220681600 in words is "fifty-six billion, two hundred twenty million, six hundred eighty-one thousand, six hundred".