5870981686752 has 1728 divisors, whose sum is σ = 22190045230080. Its totient is φ = 1494484992000.

The previous prime is 5870981686747. The next prime is 5870981686753. The reversal of 5870981686752 is 2576861890785.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5870981686753) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58128531502 + ... + 58128531602.

It is an arithmetic number, because the mean of its divisors is an integer number (12841461360).

Almost surely, 2^{5870981686752} is an apocalyptic number.

5870981686752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5870981686752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095022615040).

5870981686752 is an abundant number, since it is smaller than the sum of its proper divisors (16319063543328).

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

5870981686752 is a wasteful number, since it uses less digits than its factorization.

5870981686752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 5870981686752 in words is "five trillion, eight hundred seventy billion, nine hundred eighty-one million, six hundred eighty-six thousand, seven hundred fifty-two".