13193951961600 has 720 divisors, whose sum is σ = 48924100752384. Its totient is φ = 3392077824000.

The previous prime is 13193951961599. The next prime is 13193951961629. The reversal of 13193951961600 is 616915939131.

It is a happy number.

13193951961600 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 3 + 9 + 5 + 19 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 967788384 + ... + 967802016.

Almost surely, 2^{13193951961600} is an apocalyptic number.

13193951961600 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 13193951961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462050376192).

13193951961600 is an abundant number, since it is smaller than the sum of its proper divisors (35730148790784).

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

13193951961600 is a wasteful number, since it uses less digits than its factorization.

13193951961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13969 (or 13945 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 13193951961600 in words is "thirteen trillion, one hundred ninety-three billion, nine hundred fifty-one million, nine hundred sixty-one thousand, six hundred".