56016000 has 192 divisors, whose sum is σ = 201684600. Its totient is φ = 14899200.

The previous prime is 56015989. The next prime is 56016001. The reversal of 56016000 is 61065.

56016000 is a `hidden beast` number, since 5 + 60 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 46131264 = 3144^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (56016001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143806 + ... + 144194.

Almost surely, 2^56016000 is an apocalyptic number.

56016000 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 56016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100842300).

56016000 is an abundant number, since it is smaller than the sum of its proper divisors (145668600).

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

56016000 is a wasteful number, since it uses less digits than its factorization.

56016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

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

The square root of 56016000 is about 7484.3837421661. The cubic root of 56016000 is about 382.6226698693.

Subtracting from 56016000 its product of nonzero digits (180), we obtain a triangular number (56015820 = T₁₀₅₈₄).

Adding to 56016000 its reverse (61065), we get a palindrome (56077065).

The spelling of 56016000 in words is "fifty-six million, sixteen thousand".