5080181400 has 576 divisors, whose sum is σ = 21236230080. Its totient is φ = 1061683200.

The previous prime is 5080181369. The next prime is 5080181423. The reversal of 5080181400 is 41810805.

5080181400 is a `hidden beast` number, since 5 + 0 + 80 + 181 + 400 = 666.

It is a super-3 number, since 3×5080181400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7925080 + ... + 7925720.

It is an arithmetic number, because the mean of its divisors is an integer number (36868455).

Almost surely, 2^5080181400 is an apocalyptic number.

5080181400 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 5080181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618115040).

5080181400 is an abundant number, since it is smaller than the sum of its proper divisors (16156048680).

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

5080181400 is a wasteful number, since it uses less digits than its factorization.

5080181400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5080181400 is about 71275.3912651485. The cubic root of 5080181400 is about 1719.0680682538.

The spelling of 5080181400 in words is "five billion, eighty million, one hundred eighty-one thousand, four hundred".