5059061280 has 768 divisors, whose sum is σ = 23105295360. Its totient is φ = 1003290624.

The previous prime is 5059061251. The next prime is 5059061303. The reversal of 5059061280 is 821609505.

It is a happy number.

5059061280 is a `hidden beast` number, since 5 + 0 + 590 + 61 + 2 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682662 + ... + 6683418.

It is an arithmetic number, because the mean of its divisors is an integer number (30085020).

Almost surely, 2^5059061280 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 5059061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552647680).

5059061280 is an abundant number, since it is smaller than the sum of its proper divisors (18046234080).

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

5059061280 is a wasteful number, since it uses less digits than its factorization.

5059061280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5059061280 is about 71127.0783879107. The cubic root of 5059061280 is about 1716.6825002886.

The spelling of 5059061280 in words is "five billion, fifty-nine million, sixty-one thousand, two hundred eighty".