5521824000 has 1152 divisors, whose sum is σ = 25713192960. Its totient is φ = 1133568000.

The previous prime is 5521823981. The next prime is 5521824013. The reversal of 5521824000 is 4281255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66527959 + ... + 66528041.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^5521824000 is an apocalyptic number.

5521824000 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 5521824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856596480).

5521824000 is an abundant number, since it is smaller than the sum of its proper divisors (20191368960).

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

5521824000 is a wasteful number, since it uses less digits than its factorization.

5521824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5521824000 is about 74308.9765775307. The cubic root of 5521824000 is about 1767.5058234062.

The spelling of 5521824000 in words is "five billion, five hundred twenty-one million, eight hundred twenty-four thousand".