5532144804000 has 1344 divisors, whose sum is σ = 22150871608320. Its totient is φ = 1352090880000.

The previous prime is 5532144803963. The next prime is 5532144804001. The reversal of 5532144804000 is 4084412355.

It is a happy number.

5532144804000 is a `hidden beast` number, since 5 + 5 + 32 + 144 + 80 + 400 + 0 = 666.

It is a super-2 number, since 2×5532144804000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5532144804001) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 1717522390 + ... + 1717525610.

It is an arithmetic number, because the mean of its divisors is an integer number (16481303280).

Almost surely, 2^{5532144804000} is an apocalyptic number.

5532144804000 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 5532144804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075435804160).

5532144804000 is an abundant number, since it is smaller than the sum of its proper divisors (16618726804320).

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

5532144804000 is a wasteful number, since it uses less digits than its factorization.

5532144804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 5532144804000 in words is "five trillion, five hundred thirty-two billion, one hundred forty-four million, eight hundred four thousand".