56000294400 has 240 divisors, whose sum is σ = 186466351104. Its totient is φ = 14814535680.

The previous prime is 56000294369. The next prime is 56000294459. The reversal of 56000294400 is 449200065.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4871059 + ... + 4882541.

Almost surely, 2^56000294400 is an apocalyptic number.

56000294400 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 56000294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93233175552).

56000294400 is an abundant number, since it is smaller than the sum of its proper divisors (130466056704).

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

56000294400 is a wasteful number, since it uses less digits than its factorization.

56000294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 56000294400 its reverse (449200065), we get a palindrome (56449494465).

The spelling of 56000294400 in words is "fifty-six billion, two hundred ninety-four thousand, four hundred".