55110619800600 has 768 divisors, whose sum is σ = 211033459660800. Its totient is φ = 11585498480640.

The previous prime is 55110619800589. The next prime is 55110619800619. The reversal of 55110619800600 is 600891601155.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30805264506 + ... + 30805266294.

It is an arithmetic number, because the mean of its divisors is an integer number (274783150600).

Almost surely, 2^{55110619800600} is an apocalyptic number.

55110619800600 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 55110619800600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105516729830400).

55110619800600 is an abundant number, since it is smaller than the sum of its proper divisors (155922839860200).

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

55110619800600 is a wasteful number, since it uses less digits than its factorization.

55110619800600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 55110619800600 in words is "fifty-five trillion, one hundred ten billion, six hundred nineteen million, eight hundred thousand, six hundred".