5521824000000 has 2688 divisors, whose sum is σ = 25798169779200. Its totient is φ = 1133568000000.

The previous prime is 5521823999999. The next prime is 5521824000001. The reversal of 5521824000000 is 4281255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5521823999999) and next prime (5521824000001).

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is not an unprimeable number, because it can be changed into a prime (5521824000001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 66527999959 + ... + 66528000041.

It is an arithmetic number, because the mean of its divisors is an integer number (9597533400).

Almost surely, 2^{5521824000000} is an apocalyptic number.

5521824000000 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 5521824000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899084889600).

5521824000000 is an abundant number, since it is smaller than the sum of its proper divisors (20276345779200).

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

5521824000000 is an frugal number, since it uses more digits than its factorization.

5521824000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 111 counting only the distinct ones).

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

Adding to 5521824000000 its reverse (4281255), we get a palindrome (5521828281255).

The spelling of 5521824000000 in words is "five trillion, five hundred twenty-one billion, eight hundred twenty-four million", and thus it is an aban number.