6093482865120 has 1440 divisors, whose sum is σ = 26548015431168. Its totient is φ = 1288507336704.

The previous prime is 6093482865031. The next prime is 6093482865133. The reversal of 6093482865120 is 215682843906.

6093482865120 is a `hidden beast` number, since 6 + 0 + 9 + 3 + 48 + 2 + 86 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6093482865120² (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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1408244397 + ... + 1408248723.

Almost surely, 2^{6093482865120} is an apocalyptic number.

6093482865120 is a gapful number since it is divisible by the number (60) 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 6093482865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274007715584).

6093482865120 is an abundant number, since it is smaller than the sum of its proper divisors (20454532566048).

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

6093482865120 is a wasteful number, since it uses less digits than its factorization.

6093482865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6093482865120 in words is "six trillion, ninety-three billion, four hundred eighty-two million, eight hundred sixty-five thousand, one hundred twenty".