5859060480 has 1152 divisors, whose sum is σ = 27031818240. Its totient is φ = 1182449664.

The previous prime is 5859060463. The next prime is 5859060521. The reversal of 5859060480 is 840609585.

5859060480 is a `hidden beast` number, since 5 + 85 + 90 + 6 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254741749 + ... + 254741771.

It is an arithmetic number, because the mean of its divisors is an integer number (23465120).

Almost surely, 2^5859060480 is an apocalyptic number.

It is a pronic number, being equal to 76544×76545.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5859060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515909120).

5859060480 is an abundant number, since it is smaller than the sum of its proper divisors (21172757760).

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

5859060480 is an equidigital number, since it uses as much as digits as its factorization.

5859060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5859060480 is about 76544.4999983670. The cubic root of 5859060480 is about 1802.7797051455.

The spelling of 5859060480 in words is "five billion, eight hundred fifty-nine million, sixty thousand, four hundred eighty".