5538258730800 has 180 divisors, whose sum is σ = 19738737113680. Its totient is φ = 1436953582080.

The previous prime is 5538258730787. The next prime is 5538258730841. The reversal of 5538258730800 is 80378528355.

It is a happy number.

5538258730800 is a `hidden beast` number, since 5 + 53 + 8 + 2 + 587 + 3 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 20656060 + ... + 20922459.

Almost surely, 2^{5538258730800} is an apocalyptic number.

5538258730800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5538258730800 is an abundant number, since it is smaller than the sum of its proper divisors (14200478382880).

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

5538258730800 is a wasteful number, since it uses less digits than its factorization.

5538258730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41578580 (or 41578566 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 5538258730800 in words is "five trillion, five hundred thirty-eight billion, two hundred fifty-eight million, seven hundred thirty thousand, eight hundred".