12853974560 has 96 divisors (see below), whose sum is σ = 34811586432. Its totient is φ = 4393635840.

The previous prime is 12853974541. The next prime is 12853974577. The reversal of 12853974560 is 6547935821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12853974499 and 12853974508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353384 + ... + 388056.

It is an arithmetic number, because the mean of its divisors is an integer number (362620692).

It is a 1-persistent number, because it is pandigital, but 2⋅12853974560 = 25707949120 is not.

Almost surely, 2^12853974560 is an apocalyptic number.

12853974560 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 12853974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405793216).

12853974560 is an abundant number, since it is smaller than the sum of its proper divisors (21957611872).

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

12853974560 is a wasteful number, since it uses less digits than its factorization.

12853974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35026 (or 35018 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 12853974560 in words is "twelve billion, eight hundred fifty-three million, nine hundred seventy-four thousand, five hundred sixty".