56814408000 has 1344 divisors, whose sum is σ = 259616448000. Its totient is φ = 11545804800.

The previous prime is 56814407999. The next prime is 56814408011. The reversal of 56814408000 is 80441865.

56814408000 is a `hidden beast` number, since 568 + 14 + 4 + 0 + 80 + 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162791826 + ... + 162792174.

It is an arithmetic number, because the mean of its divisors is an integer number (193167000).

Almost surely, 2^56814408000 is an apocalyptic number.

56814408000 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 56814408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224000).

56814408000 is an abundant number, since it is smaller than the sum of its proper divisors (202802040000).

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

56814408000 is a wasteful number, since it uses less digits than its factorization.

56814408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 56814408000 its reverse (80441865), we get a palindrome (56894849865).

The spelling of 56814408000 in words is "fifty-six billion, eight hundred fourteen million, four hundred eight thousand".