12752361308160 has 1920 divisors, whose sum is σ = 50143890585600. Its totient is φ = 3100454682624.

The previous prime is 12752361308149. The next prime is 12752361308311. The reversal of 12752361308160 is 6180316325721.

It is a happy number.

12752361308160 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 23 + 613 + 0 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161422295001 + ... + 161422295079.

It is an arithmetic number, because the mean of its divisors is an integer number (26116609680).

Almost surely, 2^{12752361308160} is an apocalyptic number.

12752361308160 is a gapful number since it is divisible by the number (10) 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 12752361308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071945292800).

12752361308160 is an abundant number, since it is smaller than the sum of its proper divisors (37391529277440).

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

12752361308160 is an frugal number, since it uses more digits than its factorization.

12752361308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12752361308160 in words is "twelve trillion, seven hundred fifty-two billion, three hundred sixty-one million, three hundred eight thousand, one hundred sixty".