12975853072 has 120 divisors (see below), whose sum is σ = 31728266136. Its totient is φ = 5095286784.

The previous prime is 12975853039. The next prime is 12975853087. The reversal of 12975853072 is 27035857921.

It can be written as a sum of positive squares in 4 ways, for example, as 1731856 + 12974121216 = 1316^2 + 113904^2 .

It is a super-2 number, since 2×12975853072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391658 + ... + 1400950.

Almost surely, 2^12975853072 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 12975853072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864133068).

12975853072 is an abundant number, since it is smaller than the sum of its proper divisors (18752413064).

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

12975853072 is a wasteful number, since it uses less digits than its factorization.

12975853072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 12975853072 in words is "twelve billion, nine hundred seventy-five million, eight hundred fifty-three thousand, seventy-two".