56558779200 has 1344 divisors, whose sum is σ = 263054592000. Its totient is φ = 11718604800.

The previous prime is 56558779177. The next prime is 56558779217. The reversal of 56558779200 is 297785565.

56558779200 is a `hidden beast` number, since 56 + 5 + 587 + 7 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 162993427 + ... + 162993773.

Almost surely, 2^56558779200 is an apocalyptic number.

56558779200 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 56558779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131527296000).

56558779200 is an abundant number, since it is smaller than the sum of its proper divisors (206495812800).

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

56558779200 is a wasteful number, since it uses less digits than its factorization.

56558779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 56558779200 in words is "fifty-six billion, five hundred fifty-eight million, seven hundred seventy-nine thousand, two hundred".