56008000800 has 432 divisors, whose sum is σ = 209838256992. Its totient is φ = 14569113600.

The previous prime is 56008000733. The next prime is 56008000831. The reversal of 56008000800 is 800080065.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×56008000800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 7966887 + ... + 7973913.

It is an arithmetic number, because the mean of its divisors is an integer number (485736706).

Almost surely, 2^56008000800 is an apocalyptic number.

56008000800 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 56008000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104919128496).

56008000800 is an abundant number, since it is smaller than the sum of its proper divisors (153830256192).

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

56008000800 is a wasteful number, since it uses less digits than its factorization.

56008000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 56008000800 its reverse (800080065), we get a palindrome (56808080865).

The spelling of 56008000800 in words is "fifty-six billion, eight million, eight hundred", and thus it is an aban number.