5306861880 has 256 divisors, whose sum is σ = 18802368000. Its totient is φ = 1327601664.

The previous prime is 5306861851. The next prime is 5306861909. The reversal of 5306861880 is 881686035.

It is an interprime number because it is at equal distance from previous prime (5306861851) and next prime (5306861909).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2194432 + ... + 2196848.

It is an arithmetic number, because the mean of its divisors is an integer number (73446750).

Almost surely, 2^5306861880 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 5306861880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184000).

5306861880 is an abundant number, since it is smaller than the sum of its proper divisors (13495506120).

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

5306861880 is a wasteful number, since it uses less digits than its factorization.

5306861880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5306861880 is about 72848.2112340447. The cubic root of 5306861880 is about 1744.2655157496.

The spelling of 5306861880 in words is "five billion, three hundred six million, eight hundred sixty-one thousand, eight hundred eighty".