12998684160 has 960 divisors, whose sum is σ = 59565901824. Its totient is φ = 2536243200.

The previous prime is 12998684093. The next prime is 12998684197. The reversal of 12998684160 is 6148689921.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12998684097 and 12998684106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30159145 + ... + 30159575.

Almost surely, 2^12998684160 is an apocalyptic number.

12998684160 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 12998684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29782950912).

12998684160 is an abundant number, since it is smaller than the sum of its proper divisors (46567217664).

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

12998684160 is a wasteful number, since it uses less digits than its factorization.

12998684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12998684160 in words is "twelve billion, nine hundred ninety-eight million, six hundred eighty-four thousand, one hundred sixty".