12988834560 has 432 divisors, whose sum is σ = 49547001504. Its totient is φ = 3121348608.

The previous prime is 12988834541. The next prime is 12988834561. The reversal of 12988834560 is 6543888921.

12988834560 is a `hidden beast` number, since 1 + 298 + 8 + 8 + 345 + 6 + 0 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12988834497 and 12988834506.

It is not an unprimeable number, because it can be changed into a prime (12988834561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6438672 + ... + 6440688.

Almost surely, 2^12988834560 is an apocalyptic number.

12988834560 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 12988834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773500752).

12988834560 is an abundant number, since it is smaller than the sum of its proper divisors (36558166944).

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

12988834560 is a wasteful number, since it uses less digits than its factorization.

12988834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12988834560 in words is "twelve billion, nine hundred eighty-eight million, eight hundred thirty-four thousand, five hundred sixty".