5546853561600 has 2160 divisors, whose sum is σ = 22839940066944. Its totient is φ = 1319804928000.

The previous prime is 5546853561593. The next prime is 5546853561647. The reversal of 5546853561600 is 61653586455.

5546853561600 is a `hidden beast` number, since 5 + 5 + 46 + 8 + 535 + 6 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42342393535 + ... + 42342393665.

Almost surely, 2^{5546853561600} is an apocalyptic number.

5546853561600 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 5546853561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419970033472).

5546853561600 is an abundant number, since it is smaller than the sum of its proper divisors (17293086505344).

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

5546853561600 is a wasteful number, since it uses less digits than its factorization.

5546853561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 5546853561600 in words is "five trillion, five hundred forty-six billion, eight hundred fifty-three million, five hundred sixty-one thousand, six hundred".