5532542668800 has 1872 divisors, whose sum is σ = 24402059989632. Its totient is φ = 1169267097600.

The previous prime is 5532542668781. The next prime is 5532542668811. The reversal of 5532542668800 is 88662452355.

5532542668800 is a `hidden beast` number, since 5 + 5 + 32 + 542 + 6 + 68 + 8 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 6689893987 + ... + 6689894813.

It is an arithmetic number, because the mean of its divisors is an integer number (13035288456).

Almost surely, 2^{5532542668800} is an apocalyptic number.

5532542668800 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 5532542668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201029994816).

5532542668800 is an abundant number, since it is smaller than the sum of its proper divisors (18869517320832).

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

5532542668800 is a wasteful number, since it uses less digits than its factorization.

5532542668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 5532542668800 in words is "five trillion, five hundred thirty-two billion, five hundred forty-two million, six hundred sixty-eight thousand, eight hundred".