56117124000 has 960 divisors, whose sum is σ = 238598680320. Its totient is φ = 12653107200.

The previous prime is 56117123983. The next prime is 56117124001. The reversal of 56117124000 is 42171165.

It is a happy number.

56117124000 is a `hidden beast` number, since 5 + 611 + 7 + 1 + 2 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56117124001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 247211887 + ... + 247212113.

It is an arithmetic number, because the mean of its divisors is an integer number (248540292).

Almost surely, 2^56117124000 is an apocalyptic number.

56117124000 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 56117124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119299340160).

56117124000 is an abundant number, since it is smaller than the sum of its proper divisors (182481556320).

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

56117124000 is a wasteful number, since it uses less digits than its factorization.

56117124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 56117124000 its reverse (42171165), we get a palindrome (56159295165).

The spelling of 56117124000 in words is "fifty-six billion, one hundred seventeen million, one hundred twenty-four thousand".