5551688419200 has 2688 divisors, whose sum is σ = 26489501706240. Its totient is φ = 1115265024000.

The previous prime is 5551688419181. The next prime is 5551688419219. The reversal of 5551688419200 is 29148861555.

5551688419200 is a `hidden beast` number, since 5 + 5 + 5 + 16 + 8 + 8 + 419 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (5551688419181) and next prime (5551688419219).

It is a tau number, because it is divible by the number of its divisors (2688).

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 (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5568393102 + ... + 5568394098.

Almost surely, 2^{5551688419200} is an apocalyptic number.

5551688419200 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 5551688419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244750853120).

5551688419200 is an abundant number, since it is smaller than the sum of its proper divisors (20937813287040).

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

5551688419200 is a wasteful number, since it uses less digits than its factorization.

5551688419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 5551688419200 in words is "five trillion, five hundred fifty-one billion, six hundred eighty-eight million, four hundred nineteen thousand, two hundred".