12895358976 has 416 divisors, whose sum is σ = 42698044800. Its totient is φ = 3832676352.

The previous prime is 12895358923. The next prime is 12895358977. The reversal of 12895358976 is 67985359821.

12895358976 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 535 + 8 + 97 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12895358977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678703095 + ... + 678703113.

Almost surely, 2^12895358976 is an apocalyptic number.

12895358976 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 12895358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349022400).

12895358976 is an abundant number, since it is smaller than the sum of its proper divisors (29802685824).

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

12895358976 is an frugal number, since it uses more digits than its factorization.

12895358976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 41 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 12895358976 in words is "twelve billion, eight hundred ninety-five million, three hundred fifty-eight thousand, nine hundred seventy-six".