55106116506 has 192 divisors, whose sum is σ = 148467271680. Its totient is φ = 14985673920.

The previous prime is 55106116501. The next prime is 55106116523. The reversal of 55106116506 is 60561160155.

55106116506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55106116501) 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, 7000785 + ... + 7008651.

It is an arithmetic number, because the mean of its divisors is an integer number (773267040).

Almost surely, 2^55106116506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55106116506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74233635840).

55106116506 is an abundant number, since it is smaller than the sum of its proper divisors (93361155174).

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

55106116506 is a wasteful number, since it uses less digits than its factorization.

55106116506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 55106116506 in words is "fifty-five billion, one hundred six million, one hundred sixteen thousand, five hundred six".