5641110000 has 400 divisors, whose sum is σ = 21441261600. Its totient is φ = 1414656000.

The previous prime is 5641109989. The next prime is 5641110037. The reversal of 5641110000 is 111465.

5641110000 is a `hidden beast` number, since 564 + 1 + 1 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 4589386 + ... + 4590614.

It is an arithmetic number, because the mean of its divisors is an integer number (53603154).

Almost surely, 2^5641110000 is an apocalyptic number.

5641110000 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 5641110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720630800).

5641110000 is an abundant number, since it is smaller than the sum of its proper divisors (15800151600).

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

5641110000 is a wasteful number, since it uses less digits than its factorization.

5641110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5641110000 is about 75107.3232115218. The cubic root of 5641110000 is about 1780.1428577007.

Adding to 5641110000 its reverse (111465), we get a palindrome (5641221465).

The spelling of 5641110000 in words is "five billion, six hundred forty-one million, one hundred ten thousand".