5485111200 has 432 divisors, whose sum is σ = 20998327896. Its totient is φ = 1341849600.

The previous prime is 5485111187. The next prime is 5485111211. The reversal of 5485111200 is 21115845.

5485111200 is a `hidden beast` number, since 548 + 5 + 1 + 112 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1031951376 + 4453159824 = 32124^2 + 66732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5017854 + ... + 5018946.

Almost surely, 2^5485111200 is an apocalyptic number.

5485111200 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 5485111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499163948).

5485111200 is an abundant number, since it is smaller than the sum of its proper divisors (15513216696).

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

5485111200 is a wasteful number, since it uses less digits than its factorization.

5485111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 5485111200 is about 74061.5365760122. The cubic root of 5485111200 is about 1763.5799206405.

The spelling of 5485111200 in words is "five billion, four hundred eighty-five million, one hundred eleven thousand, two hundred".