5540507884800 has 1944 divisors, whose sum is σ = 23819166309120. Its totient is φ = 1203351552000.

The previous prime is 5540507884753. The next prime is 5540507884829. The reversal of 5540507884800 is 84887050455.

5540507884800 is a `hidden beast` number, since 5 + 5 + 40 + 50 + 78 + 8 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 30610540710 + ... + 30610540890.

Almost surely, 2^{5540507884800} is an apocalyptic number.

5540507884800 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 5540507884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11909583154560).

5540507884800 is an abundant number, since it is smaller than the sum of its proper divisors (18278658424320).

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

5540507884800 is a wasteful number, since it uses less digits than its factorization.

5540507884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 5540507884800 in words is "five trillion, five hundred forty billion, five hundred seven million, eight hundred eighty-four thousand, eight hundred".