12901728576 has 168 divisors, whose sum is σ = 37725035040. Its totient is φ = 3888389120.

The previous prime is 12901728551. The next prime is 12901728589. The reversal of 12901728576 is 67582710921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4575295 + ... + 4578113.

It is an arithmetic number, because the mean of its divisors is an integer number (224553780).

Almost surely, 2^12901728576 is an apocalyptic number.

12901728576 is a gapful number since it is divisible by the number (16) 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 12901728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18862517520).

12901728576 is an abundant number, since it is smaller than the sum of its proper divisors (24823306464).

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

12901728576 is a wasteful number, since it uses less digits than its factorization.

12901728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 12901728576 in words is "twelve billion, nine hundred one million, seven hundred twenty-eight thousand, five hundred seventy-six".