5399552188800 has 1536 divisors, whose sum is σ = 24818411520000. Its totient is φ = 1113722265600.

The previous prime is 5399552188787. The next prime is 5399552188801. The reversal of 5399552188800 is 88812559935.

5399552188800 is a `hidden beast` number, since 539 + 9 + 5 + 5 + 2 + 18 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5399552188801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 924736281 + ... + 924742119.

It is an arithmetic number, because the mean of its divisors is an integer number (16157820000).

Almost surely, 2^{5399552188800} is an apocalyptic number.

5399552188800 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 5399552188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409205760000).

5399552188800 is an abundant number, since it is smaller than the sum of its proper divisors (19418859331200).

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

5399552188800 is a wasteful number, since it uses less digits than its factorization.

5399552188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 5399552188800 in words is "five trillion, three hundred ninety-nine billion, five hundred fifty-two million, one hundred eighty-eight thousand, eight hundred".