13205442848700 has 72 divisors (see below), whose sum is σ = 38211543054720. Its totient is φ = 3521101649600.

The previous prime is 13205442848671. The next prime is 13205442848831. The reversal of 13205442848700 is 784824450231.

13205442848700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13205442848700.

It is a congruent number.

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, 846241 + ... + 5208359.

It is an arithmetic number, because the mean of its divisors is an integer number (530715875760).

Almost surely, 2^{13205442848700} is an apocalyptic number.

13205442848700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205442848700 is an abundant number, since it is smaller than the sum of its proper divisors (25006100206020).

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

13205442848700 is a wasteful number, since it uses less digits than its factorization.

13205442848700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372227 (or 4372220 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 13205442848700 in words is "thirteen trillion, two hundred five billion, four hundred forty-two million, eight hundred forty-eight thousand, seven hundred".