12642057888 has 96 divisors (see below), whose sum is σ = 35199432576. Its totient is φ = 3959144448.

The previous prime is 12642057851. The next prime is 12642057907. The reversal of 12642057888 is 88875024621.

12642057888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 12642057888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961245 + ... + 974307.

It is an arithmetic number, because the mean of its divisors is an integer number (366660756).

Almost surely, 2^12642057888 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 12642057888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599716288).

12642057888 is an abundant number, since it is smaller than the sum of its proper divisors (22557374688).

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

12642057888 is a wasteful number, since it uses less digits than its factorization.

12642057888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13686 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 12642057888 in words is "twelve billion, six hundred forty-two million, fifty-seven thousand, eight hundred eighty-eight".