3164260275120 has 1280 divisors, whose sum is σ = 12984626073600. Its totient is φ = 621532348416.

The previous prime is 3164260275119. The next prime is 3164260275181. The reversal of 3164260275120 is 215720624613.

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 255 ways as a sum of consecutive naturals, for example, 5680897882 + ... + 5680898438.

It is an arithmetic number, because the mean of its divisors is an integer number (10144239120).

Almost surely, 2^{3164260275120} is an apocalyptic number.

3164260275120 is a gapful number since it is divisible by the number (30) 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 3164260275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492313036800).

3164260275120 is an abundant number, since it is smaller than the sum of its proper divisors (9820365798480).

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

3164260275120 is a wasteful number, since it uses less digits than its factorization.

3164260275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 3164260275120 its reverse (215720624613), we get a palindrome (3379980899733).

The spelling of 3164260275120 in words is "three trillion, one hundred sixty-four billion, two hundred sixty million, two hundred seventy-five thousand, one hundred twenty".