12653528064 has 88 divisors (see below), whose sum is σ = 33970046880. Its totient is φ = 4187357184.

The previous prime is 12653528051. The next prime is 12653528087. The reversal of 12653528064 is 46082535621.

It is a super-2 number, since 2×12653528064² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412192 + ... + 441824.

It is an arithmetic number, because the mean of its divisors is an integer number (386023260).

Almost surely, 2^12653528064 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 12653528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985023440).

12653528064 is an abundant number, since it is smaller than the sum of its proper divisors (21316518816).

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

12653528064 is a wasteful number, since it uses less digits than its factorization.

12653528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29795 (or 29777 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 12653528064 in words is "twelve billion, six hundred fifty-three million, five hundred twenty-eight thousand, sixty-four".