5611334400 has 432 divisors, whose sum is σ = 23520716800. Its totient is φ = 1282314240.

The previous prime is 5611334359. The next prime is 5611334431. The reversal of 5611334400 is 44331165.

5611334400 is a `hidden beast` number, since 5 + 611 + 3 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207281 + ... + 1211919.

Almost surely, 2^5611334400 is an apocalyptic number.

5611334400 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 5611334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760358400).

5611334400 is an abundant number, since it is smaller than the sum of its proper divisors (17909382400).

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

5611334400 is a wasteful number, since it uses less digits than its factorization.

5611334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5611334400 is about 74908.8405997583. The cubic root of 5611334400 is about 1777.0052745556.

Adding to 5611334400 its reverse (44331165), we get a palindrome (5655665565).

The spelling of 5611334400 in words is "five billion, six hundred eleven million, three hundred thirty-four thousand, four hundred".