5538416947200 has 1872 divisors, whose sum is σ = 22289794790400. Its totient is φ = 1346479718400.

The previous prime is 5538416947183. The next prime is 5538416947207. The reversal of 5538416947200 is 27496148355.

It is a happy number.

5538416947200 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 4 + 169 + 472 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538416947207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30940876711 + ... + 30940876889.

It is a 1-persistent number, because it is pandigital, but 2⋅5538416947200 = 11076833894400 is not.

Almost surely, 2^{5538416947200} is an apocalyptic number.

5538416947200 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 5538416947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144897395200).

5538416947200 is an abundant number, since it is smaller than the sum of its proper divisors (16751377843200).

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

5538416947200 is a wasteful number, since it uses less digits than its factorization.

5538416947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5538416947200 in words is "five trillion, five hundred thirty-eight billion, four hundred sixteen million, nine hundred forty-seven thousand, two hundred".