13491958060200 has 384 divisors, whose sum is σ = 44498345673600. Its totient is φ = 3372144721920.

The previous prime is 13491958060199. The next prime is 13491958060213. The reversal of 13491958060200 is 206085919431.

It is a self number, because there is not a number n which added to its sum of digits gives 13491958060200.

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, 417007224 + ... + 417039576.

It is an arithmetic number, because the mean of its divisors is an integer number (115881108525).

Almost surely, 2^{13491958060200} is an apocalyptic number.

13491958060200 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 13491958060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22249172836800).

13491958060200 is an abundant number, since it is smaller than the sum of its proper divisors (31006387613400).

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

13491958060200 is a wasteful number, since it uses less digits than its factorization.

13491958060200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32781 (or 32772 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 13491958060200 in words is "thirteen trillion, four hundred ninety-one billion, nine hundred fifty-eight million, sixty thousand, two hundred".