56011200 has 168 divisors, whose sum is σ = 210141312. Its totient is φ = 12794880.

The previous prime is 56011199. The next prime is 56011211. The reversal of 56011200 is 211065.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 56011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32767 + ... + 34433.

Almost surely, 2^56011200 is an apocalyptic number.

56011200 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 56011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105070656).

56011200 is an abundant number, since it is smaller than the sum of its proper divisors (154130112).

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

56011200 is a wasteful number, since it uses less digits than its factorization.

56011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 56011200 is about 7484.0630676124. The cubic root of 56011200 is about 382.6117406034.

Adding to 56011200 its reverse (211065), we get a palindrome (56222265).

The spelling of 56011200 in words is "fifty-six million, eleven thousand, two hundred".