6105515218544 has 160 divisors (see below), whose sum is σ = 15285907353600. Its totient is φ = 2301103042560.

The previous prime is 6105515218519. The next prime is 6105515218549. The reversal of 6105515218544 is 4458125155016.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105515218549) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 71774 + ... + 3495165.

It is an arithmetic number, because the mean of its divisors is an integer number (95536920960).

Almost surely, 2^{6105515218544} 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 6105515218544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642953676800).

6105515218544 is an abundant number, since it is smaller than the sum of its proper divisors (9180392135056).

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

6105515218544 is a wasteful number, since it uses less digits than its factorization.

6105515218544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567031 (or 3567025 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 47.

The spelling of 6105515218544 in words is "six trillion, one hundred five billion, five hundred fifteen million, two hundred eighteen thousand, five hundred forty-four".