5858208720 has 720 divisors, whose sum is σ = 25215542352. Its totient is φ = 1207664640.

The previous prime is 5858208689. The next prime is 5858208737. The reversal of 5858208720 is 278028585.

It can be written as a sum of positive squares in 8 ways, for example, as 2286144 + 5855922576 = 1512^2 + 76524^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24307800 + ... + 24308040.

Almost surely, 2^5858208720 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 5858208720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607771176).

5858208720 is an abundant number, since it is smaller than the sum of its proper divisors (19357333632).

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

5858208720 is a wasteful number, since it uses less digits than its factorization.

5858208720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 5858208720 is about 76538.9359737905. The cubic root of 5858208720 is about 1802.6923413060.

The spelling of 5858208720 in words is "five billion, eight hundred fifty-eight million, two hundred eight thousand, seven hundred twenty".