56159017200 has 2400 divisors, whose sum is σ = 270054715392. Its totient is φ = 10948608000.

The previous prime is 56159017133. The next prime is 56159017219. The reversal of 56159017200 is 271095165.

56159017200 is a `hidden beast` number, since 5 + 61 + 590 + 1 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 1811581185 + ... + 1811581215.

Almost surely, 2^56159017200 is an apocalyptic number.

56159017200 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 56159017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135027357696).

56159017200 is an abundant number, since it is smaller than the sum of its proper divisors (213895698192).

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

56159017200 is a wasteful number, since it uses less digits than its factorization.

56159017200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 56159017200 in words is "fifty-six billion, one hundred fifty-nine million, seventeen thousand, two hundred".