56295844800 has 672 divisors, whose sum is σ = 211864773120. Its totient is φ = 12972441600.

The previous prime is 56295844769. The next prime is 56295844817. The reversal of 56295844800 is 844859265.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122116570 + ... + 122117030.

It is an arithmetic number, because the mean of its divisors is an integer number (315274960).

Almost surely, 2^56295844800 is an apocalyptic number.

56295844800 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 56295844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105932386560).

56295844800 is an abundant number, since it is smaller than the sum of its proper divisors (155568928320).

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

56295844800 is a wasteful number, since it uses less digits than its factorization.

56295844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 56295844800 in words is "fifty-six billion, two hundred ninety-five million, eight hundred forty-four thousand, eight hundred".