56160000 has 360 divisors, whose sum is σ = 223490960. Its totient is φ = 13824000.

The previous prime is 56159977. The next prime is 56160001. The reversal of 56160000 is 6165.

56160000 is a `hidden beast` number, since 5 + 61 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56160001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319994 + ... + 4320006.

Almost surely, 2^56160000 is an apocalyptic number.

56160000 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 56160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111745480).

56160000 is an abundant number, since it is smaller than the sum of its proper divisors (167330960).

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

56160000 is an equidigital number, since it uses as much as digits as its factorization.

56160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

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

The square root of 56160000 is about 7493.9975980781. The cubic root of 56160000 is about 382.9502579316.

Adding to 56160000 its reverse (6165), we get a palindrome (56166165).

The spelling of 56160000 in words is "fifty-six million, one hundred sixty thousand".