56006895200 has 144 divisors (see below), whose sum is σ = 143014346496. Its totient is φ = 21377241600.

The previous prime is 56006895193. The next prime is 56006895229. The reversal of 56006895200 is 259860065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8147765 + ... + 8154635.

It is an arithmetic number, because the mean of its divisors is an integer number (993155184).

Almost surely, 2^56006895200 is an apocalyptic number.

56006895200 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 56006895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71507173248).

56006895200 is an abundant number, since it is smaller than the sum of its proper divisors (87007451296).

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

56006895200 is a wasteful number, since it uses less digits than its factorization.

56006895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 56006895200 in words is "fifty-six billion, six million, eight hundred ninety-five thousand, two hundred".