5870081721600 has 1296 divisors, whose sum is σ = 22652218134000. Its totient is φ = 1445021614080.

The previous prime is 5870081721589. The next prime is 5870081721607. The reversal of 5870081721600 is 61271800785.

It is a happy number.

5870081721600 is a `hidden beast` number, since 5 + 8 + 7 + 0 + 0 + 8 + 17 + 21 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3934288118016 + 1935793603584 = 1983504^2 + 1391328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5870081721607) by changing a digit.

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, 16819718226 + ... + 16819718574.

It is an arithmetic number, because the mean of its divisors is an integer number (17478563375).

Almost surely, 2^{5870081721600} is an apocalyptic number.

5870081721600 is a gapful number since it is divisible by the number (50) 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 5870081721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326109067000).

5870081721600 is an abundant number, since it is smaller than the sum of its proper divisors (16782136412400).

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

5870081721600 is a wasteful number, since it uses less digits than its factorization.

5870081721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 5870081721600 in words is "five trillion, eight hundred seventy billion, eighty-one million, seven hundred twenty-one thousand, six hundred".