5872805760 has 384 divisors, whose sum is σ = 20379232800. Its totient is φ = 1437253632.

The previous prime is 5872805753. The next prime is 5872805761. The reversal of 5872805760 is 675082785.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872805761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25645326 + ... + 25645554.

Almost surely, 2^5872805760 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 5872805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189616400).

5872805760 is an abundant number, since it is smaller than the sum of its proper divisors (14506427040).

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

5872805760 is a wasteful number, since it uses less digits than its factorization.

5872805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 5872805760 is about 76634.2336035273. The cubic root of 5872805760 is about 1804.1883700955.

The spelling of 5872805760 in words is "five billion, eight hundred seventy-two million, eight hundred five thousand, seven hundred sixty".