5505083918200 has 192 divisors, whose sum is σ = 13529684044800. Its totient is φ = 2079868492800.

The previous prime is 5505083918179. The next prime is 5505083918221. The reversal of 5505083918200 is 28193805055.

It is an interprime number because it is at equal distance from previous prime (5505083918179) and next prime (5505083918221).

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, 388962324 + ... + 388976476.

It is an arithmetic number, because the mean of its divisors is an integer number (70467104400).

Almost surely, 2^{5505083918200} is an apocalyptic number.

5505083918200 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 5505083918200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764842022400).

5505083918200 is an abundant number, since it is smaller than the sum of its proper divisors (8024600126600).

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

5505083918200 is a wasteful number, since it uses less digits than its factorization.

5505083918200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 5505083918200 in words is "five trillion, five hundred five billion, eighty-three million, nine hundred eighteen thousand, two hundred".