5806673713152 has 960 divisors, whose sum is σ = 19418964364800. Its totient is φ = 1717246033920.

The previous prime is 5806673713121. The next prime is 5806673713187. The reversal of 5806673713152 is 2513173766085.

5806673713152 is a `hidden beast` number, since 580 + 6 + 6 + 7 + 3 + 7 + 1 + 3 + 1 + 52 = 666.

It is a super-2 number, since 2×5806673713152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5980096027 + ... + 5980096997.

It is an arithmetic number, because the mean of its divisors is an integer number (20228087880).

Almost surely, 2^{5806673713152} is an apocalyptic number.

5806673713152 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 5806673713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9709482182400).

5806673713152 is an abundant number, since it is smaller than the sum of its proper divisors (13612290651648).

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

5806673713152 is a wasteful number, since it uses less digits than its factorization.

5806673713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 5806673713152 in words is "five trillion, eight hundred six billion, six hundred seventy-three million, seven hundred thirteen thousand, one hundred fifty-two".