12905076576 has 96 divisors (see below), whose sum is σ = 38805516288. Its totient is φ = 3678566400.

The previous prime is 12905076571. The next prime is 12905076637. The reversal of 12905076576 is 67567050921.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12905076571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268801 + ... + 313151.

It is an arithmetic number, because the mean of its divisors is an integer number (404224128).

Almost surely, 2^12905076576 is an apocalyptic number.

12905076576 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 12905076576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402758144).

12905076576 is an abundant number, since it is smaller than the sum of its proper divisors (25900439712).

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

12905076576 is a wasteful number, since it uses less digits than its factorization.

12905076576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44804 (or 44796 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 12905076576 in words is "twelve billion, nine hundred five million, seventy-six thousand, five hundred seventy-six".