5556409636800 has 1344 divisors, whose sum is σ = 20694232627200. Its totient is φ = 1304709120000.

The previous prime is 5556409636793. The next prime is 5556409636807. The reversal of 5556409636800 is 86369046555.

It is an interprime number because it is at equal distance from previous prime (5556409636793) and next prime (5556409636807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5556409636807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50976235146 + ... + 50976235254.

Almost surely, 2^{5556409636800} is an apocalyptic number.

5556409636800 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 5556409636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347116313600).

5556409636800 is an abundant number, since it is smaller than the sum of its proper divisors (15137822990400).

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

5556409636800 is a wasteful number, since it uses less digits than its factorization.

5556409636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 5556409636800 in words is "five trillion, five hundred fifty-six billion, four hundred nine million, six hundred thirty-six thousand, eight hundred".