56160000000 has 768 divisors, whose sum is σ = 223944739200. Its totient is φ = 13824000000.

The previous prime is 56159999981. The next prime is 56160000011. The reversal of 56160000000 is 6165.

56160000000 is a `hidden beast` number, since 5 + 61 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4319999994 + ... + 4320000006.

Almost surely, 2^56160000000 is an apocalyptic number.

56160000000 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 56160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111972369600).

56160000000 is an abundant number, since it is smaller than the sum of its proper divisors (167784739200).

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

56160000000 is an frugal number, since it uses more digits than its factorization.

56160000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 56160000000 its reverse (6165), we get a palindrome (56160006165).

The spelling of 56160000000 in words is "fifty-six billion, one hundred sixty million", and thus it is an aban number.