55110000105536 has 112 divisors (see below), whose sum is σ = 116842136851200. Its totient is φ = 25713051775488.

The previous prime is 55110000105509. The next prime is 55110000105551. The reversal of 55110000105536 is 63550100001155.

55110000105536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55110000105536² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1582739135 + ... + 1582773953.

Almost surely, 2^{55110000105536} 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 55110000105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58421068425600).

55110000105536 is an abundant number, since it is smaller than the sum of its proper divisors (61732136745664).

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

55110000105536 is a wasteful number, since it uses less digits than its factorization.

55110000105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54344 (or 54334 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 32.

The spelling of 55110000105536 in words is "fifty-five trillion, one hundred ten billion, one hundred five thousand, five hundred thirty-six".