5066181120 has 640 divisors, whose sum is σ = 21778606080. Its totient is φ = 970260480.

The previous prime is 5066181097. The next prime is 5066181137. The reversal of 5066181120 is 211816605.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5066181120² = 51332382281288908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7687351 + ... + 7688009.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 2^5066181120 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 5066181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5066181120 is an abundant number, since it is smaller than the sum of its proper divisors (16712424960).

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

5066181120 is a wasteful number, since it uses less digits than its factorization.

5066181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5066181120 is about 71177.1109276009. The cubic root of 5066181120 is about 1717.4874437869.

Adding to 5066181120 its reverse (211816605), we get a palindrome (5277997725).

The spelling of 5066181120 in words is "five billion, sixty-six million, one hundred eighty-one thousand, one hundred twenty".