12838928564900 has 72 divisors (see below), whose sum is σ = 28216416117120. Its totient is φ = 5069975264640.

The previous prime is 12838928564857. The next prime is 12838928564921. The reversal of 12838928564900 is 946582983821.

12838928564900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71349842 + ... + 71529558.

Almost surely, 2^{12838928564900} is an apocalyptic number.

12838928564900 is a gapful number since it is divisible by the number (10) 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 12838928564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108208058560).

12838928564900 is an abundant number, since it is smaller than the sum of its proper divisors (15377487552220).

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

12838928564900 is a wasteful number, since it uses less digits than its factorization.

12838928564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188853 (or 188846 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 65.

The spelling of 12838928564900 in words is "twelve trillion, eight hundred thirty-eight billion, nine hundred twenty-eight million, five hundred sixty-four thousand, nine hundred".