5611442200 has 288 divisors, whose sum is σ = 16607820960. Its totient is φ = 1725235200.

The previous prime is 5611442191. The next prime is 5611442231. The reversal of 5611442200 is 22441165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8753880 + ... + 8754520.

It is an arithmetic number, because the mean of its divisors is an integer number (57666045).

Almost surely, 2^5611442200 is an apocalyptic number.

5611442200 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 5611442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303910480).

5611442200 is an abundant number, since it is smaller than the sum of its proper divisors (10996378760).

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

5611442200 is a wasteful number, since it uses less digits than its factorization.

5611442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5611442200 is about 74909.5601375419. The cubic root of 5611442200 is about 1777.0166539013.

Adding to 5611442200 its reverse (22441165), we get a palindrome (5633883365).

The spelling of 5611442200 in words is "five billion, six hundred eleven million, four hundred forty-two thousand, two hundred".