55158834601728 has 864 divisors, whose sum is σ = 194039753736192. Its totient is φ = 15406781644800.

The previous prime is 55158834601723. The next prime is 55158834601763. The reversal of 55158834601728 is 82710643885155.

It is a happy number.

55158834601728 is a `hidden beast` number, since 5 + 5 + 1 + 588 + 3 + 46 + 0 + 1 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55158834601723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6734074113 + ... + 6734082303.

Almost surely, 2^{55158834601728} 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 55158834601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97019876868096).

55158834601728 is an abundant number, since it is smaller than the sum of its proper divisors (138880919134464).

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

55158834601728 is a wasteful number, since it uses less digits than its factorization.

55158834601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 55158834601728 in words is "fifty-five trillion, one hundred fifty-eight billion, eight hundred thirty-four million, six hundred one thousand, seven hundred twenty-eight".