56249370508800 has 480 divisors, whose sum is σ = 213145360395264. Its totient is φ = 12809539584000.

The previous prime is 56249370508733. The next prime is 56249370508801. The reversal of 56249370508800 is 880507394265.

56249370508800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56249370508801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72458710 + ... + 73230890.

Almost surely, 2^{56249370508800} is an apocalyptic number.

56249370508800 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 56249370508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106572680197632).

56249370508800 is an abundant number, since it is smaller than the sum of its proper divisors (156895989886464).

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

56249370508800 is a wasteful number, since it uses less digits than its factorization.

56249370508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772490 (or 772469 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 56249370508800 in words is "fifty-six trillion, two hundred forty-nine billion, three hundred seventy million, five hundred eight thousand, eight hundred".