6135135366360 has 1024 divisors, whose sum is σ = 25601154969600. Its totient is φ = 1135086796800.

The previous prime is 6135135366329. The next prime is 6135135366361. The reversal of 6135135366360 is 636635315316.

It is a super-2 number, since 2×6135135366360² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6135135366361) 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 255 ways as a sum of consecutive naturals, for example, 438310882 + ... + 438324878.

It is an arithmetic number, because the mean of its divisors is an integer number (25001127900).

Almost surely, 2^{6135135366360} is an apocalyptic number.

6135135366360 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 6135135366360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800577484800).

6135135366360 is an abundant number, since it is smaller than the sum of its proper divisors (19466019603240).

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

6135135366360 is a wasteful number, since it uses less digits than its factorization.

6135135366360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172 (or 14168 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 48.

The spelling of 6135135366360 in words is "six trillion, one hundred thirty-five billion, one hundred thirty-five million, three hundred sixty-six thousand, three hundred sixty".