5540218387200 has 1728 divisors, whose sum is σ = 23946117350400. Its totient is φ = 1227217305600.

The previous prime is 5540218387181. The next prime is 5540218387201. The reversal of 5540218387200 is 27838120455.

5540218387200 is a `hidden beast` number, since 5 + 5 + 40 + 21 + 8 + 387 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5540218387201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5705682715 + ... + 5705683685.

It is an arithmetic number, because the mean of its divisors is an integer number (13857706800).

Almost surely, 2^{5540218387200} is an apocalyptic number.

5540218387200 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 5540218387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973058675200).

5540218387200 is an abundant number, since it is smaller than the sum of its proper divisors (18405898963200).

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

5540218387200 is a wasteful number, since it uses less digits than its factorization.

5540218387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 5540218387200 in words is "five trillion, five hundred forty billion, two hundred eighteen million, three hundred eighty-seven thousand, two hundred".