55096218216288 has 288 divisors, whose sum is σ = 165282114816000. Its totient is φ = 17361286944768.

The previous prime is 55096218216217. The next prime is 55096218216371. The reversal of 55096218216288 is 88261281269055.

It is a happy number.

55096218216288 is a `hidden beast` number, since 5 + 50 + 96 + 2 + 1 + 8 + 216 + 288 = 666.

55096218216288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13350184081 + ... + 13350188207.

It is an arithmetic number, because the mean of its divisors is an integer number (573896232000).

Almost surely, 2^{55096218216288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55096218216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82641057408000).

55096218216288 is an abundant number, since it is smaller than the sum of its proper divisors (110185896599712).

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

55096218216288 is a wasteful number, since it uses less digits than its factorization.

55096218216288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8834 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 55096218216288 in words is "fifty-five trillion, ninety-six billion, two hundred eighteen million, two hundred sixteen thousand, two hundred eighty-eight".