12748475436160 has 128 divisors (see below), whose sum is σ = 30912585303600. Its totient is φ = 5026953609216.

The previous prime is 12748475436133. The next prime is 12748475436211. The reversal of 12748475436160 is 6163457484721.

It can be written as a sum of positive squares in 8 ways, for example, as 12645875658816 + 102599777344 = 3556104^2 + 320312^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12748475436095 and 12748475436104.

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, 13278894 + ... + 14206546.

Almost surely, 2^{12748475436160} is an apocalyptic number.

12748475436160 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 12748475436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456292651800).

12748475436160 is an abundant number, since it is smaller than the sum of its proper divisors (18164109867440).

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

12748475436160 is a wasteful number, since it uses less digits than its factorization.

12748475436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927978 (or 927966 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 12748475436160 in words is "twelve trillion, seven hundred forty-eight billion, four hundred seventy-five million, four hundred thirty-six thousand, one hundred sixty".