56004800124000 has 1536 divisors, whose sum is σ = 233412107894784. Its totient is φ = 11424778444800.

The previous prime is 56004800123957. The next prime is 56004800124017. The reversal of 56004800124000 is 42100840065.

56004800124000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4259885427 + ... + 4259898573.

It is an arithmetic number, because the mean of its divisors is an integer number (151961007744).

Almost surely, 2^{56004800124000} is an apocalyptic number.

56004800124000 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 56004800124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116706053947392).

56004800124000 is an abundant number, since it is smaller than the sum of its proper divisors (177407307770784).

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

56004800124000 is a wasteful number, since it uses less digits than its factorization.

56004800124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13325 (or 13307 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 56004800124000 its reverse (42100840065), we get a palindrome (56046900964065).

The spelling of 56004800124000 in words is "fifty-six trillion, four billion, eight hundred million, one hundred twenty-four thousand".