5875338560 has 224 divisors, whose sum is σ = 17420417280. Its totient is φ = 1837744128.

The previous prime is 5875338529. The next prime is 5875338589. The reversal of 5875338560 is 658335785.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 5875338499 and 5875338508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2590547 + ... + 2592813.

It is an arithmetic number, because the mean of its divisors is an integer number (77769720).

Almost surely, 2^5875338560 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 5875338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710208640).

5875338560 is an abundant number, since it is smaller than the sum of its proper divisors (11545078720).

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

5875338560 is a wasteful number, since it uses less digits than its factorization.

5875338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

The square root of 5875338560 is about 76650.7570738868. The cubic root of 5875338560 is about 1804.4477005144.

The spelling of 5875338560 in words is "five billion, eight hundred seventy-five million, three hundred thirty-eight thousand, five hundred sixty".