56225680588800 has 1440 divisors, whose sum is σ = 212031595776000. Its totient is φ = 14768437985280.

The previous prime is 56225680588771. The next prime is 56225680588843. The reversal of 56225680588800 is 888508652265.

56225680588800 is a `hidden beast` number, since 5 + 62 + 2 + 568 + 0 + 5 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×56225680588800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404501299131 + ... + 404501299269.

Almost surely, 2^{56225680588800} is an apocalyptic number.

56225680588800 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 56225680588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106015797888000).

56225680588800 is an abundant number, since it is smaller than the sum of its proper divisors (155805915187200).

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

56225680588800 is an frugal number, since it uses more digits than its factorization.

56225680588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 56225680588800 in words is "fifty-six trillion, two hundred twenty-five billion, six hundred eighty million, five hundred eighty-eight thousand, eight hundred".