5858387880480 has 288 divisors, whose sum is σ = 20597765937840. Its totient is φ = 1515320770560.

The previous prime is 5858387880469. The next prime is 5858387880523. The reversal of 5858387880480 is 840887838585.

5858387880480 is a `hidden beast` number, since 585 + 8 + 38 + 7 + 8 + 8 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 753083782416 + 5105304098064 = 867804^2 + 2259492^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5858387880399 and 5858387880408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9927136 + ... + 10500704.

Almost surely, 2^{5858387880480} 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 5858387880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298882968920).

5858387880480 is an abundant number, since it is smaller than the sum of its proper divisors (14739378057360).

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

5858387880480 is a wasteful number, since it uses less digits than its factorization.

5858387880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573804 (or 573793 counting only the distinct ones).

The product of its (nonzero) digits is 550502400, while the sum is 72.

The spelling of 5858387880480 in words is "five trillion, eight hundred fifty-eight billion, three hundred eighty-seven million, eight hundred eighty thousand, four hundred eighty".