12893721984 has 768 divisors, whose sum is σ = 47155530240. Its totient is φ = 3325132800.

The previous prime is 12893721977. The next prime is 12893721991. The reversal of 12893721984 is 48912739821.

12893721984 is a `hidden beast` number, since 1 + 2 + 89 + 372 + 198 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12893721977) and next prime (12893721991).

It is a self number, because there is not a number n which added to its sum of digits gives 12893721984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155346007 + ... + 155346089.

It is an arithmetic number, because the mean of its divisors is an integer number (61400430).

Almost surely, 2^12893721984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12893721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577765120).

12893721984 is an abundant number, since it is smaller than the sum of its proper divisors (34261808256).

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

12893721984 is a wasteful number, since it uses less digits than its factorization.

12893721984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

It can be divided in two parts, 1289 and 3721984, that added together give a palindrome (3723273).

The spelling of 12893721984 in words is "twelve billion, eight hundred ninety-three million, seven hundred twenty-one thousand, nine hundred eighty-four".