12975891760 has 160 divisors (see below), whose sum is σ = 33011637120. Its totient is φ = 4714758144.

The previous prime is 12975891739. The next prime is 12975891821. The reversal of 12975891760 is 6719857921.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29557621 + ... + 29558059.

It is an arithmetic number, because the mean of its divisors is an integer number (206322732).

Almost surely, 2^12975891760 is an apocalyptic number.

12975891760 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 12975891760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505818560).

12975891760 is an abundant number, since it is smaller than the sum of its proper divisors (20035745360).

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

12975891760 is a wasteful number, since it uses less digits than its factorization.

12975891760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 12975891760 in words is "twelve billion, nine hundred seventy-five million, eight hundred ninety-one thousand, seven hundred sixty".