13352938946880 has 448 divisors, whose sum is σ = 45978718141440. Its totient is φ = 3263765151744.

The previous prime is 13352938946873. The next prime is 13352938946891. The reversal of 13352938946880 is 8864983925331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1370511289 + ... + 1370521031.

It is an arithmetic number, because the mean of its divisors is an integer number (102631067280).

Almost surely, 2^{13352938946880} is an apocalyptic number.

13352938946880 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 13352938946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22989359070720).

13352938946880 is an abundant number, since it is smaller than the sum of its proper divisors (32625779194560).

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

13352938946880 is a wasteful number, since it uses less digits than its factorization.

13352938946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 13352938946880 in words is "thirteen trillion, three hundred fifty-two billion, nine hundred thirty-eight million, nine hundred forty-six thousand, eight hundred eighty".