55247594688000 has 3840 divisors, whose sum is σ = 245302587129600. Its totient is φ = 11766988800000.

The previous prime is 55247594687981. The next prime is 55247594688001. The reversal of 55247594688000 is 88649574255.

55247594688000 is a `hidden beast` number, since 5 + 5 + 2 + 47 + 59 + 468 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55247594688001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 241255871886 + ... + 241255872114.

It is an arithmetic number, because the mean of its divisors is an integer number (63880882065).

Almost surely, 2^{55247594688000} is an apocalyptic number.

55247594688000 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 55247594688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122651293564800).

55247594688000 is an abundant number, since it is smaller than the sum of its proper divisors (190054992441600).

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

55247594688000 is a wasteful number, since it uses less digits than its factorization.

55247594688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 55247594688000 in words is "fifty-five trillion, two hundred forty-seven billion, five hundred ninety-four million, six hundred eighty-eight thousand".