5084135280 has 480 divisors, whose sum is σ = 20724387840. Its totient is φ = 1091819520.

The previous prime is 5084135233. The next prime is 5084135333. The reversal of 5084135280 is 825314805.

It is a happy number.

5084135280 is a `hidden beast` number, since 50 + 84 + 1 + 3 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7070761 + ... + 7071479.

It is an arithmetic number, because the mean of its divisors is an integer number (43175808).

Almost surely, 2^5084135280 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 5084135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362193920).

5084135280 is an abundant number, since it is smaller than the sum of its proper divisors (15640252560).

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

5084135280 is a wasteful number, since it uses less digits than its factorization.

5084135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5084135280 is about 71303.1225122715. The cubic root of 5084135280 is about 1719.5139333208.

The spelling of 5084135280 in words is "five billion, eighty-four million, one hundred thirty-five thousand, two hundred eighty".