13194965518900 has 144 divisors (see below), whose sum is σ = 32218007290560. Its totient is φ = 4648449254400.

The previous prime is 13194965518873. The next prime is 13194965518901. The reversal of 13194965518900 is 981556949131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194965518901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8787391 + ... + 10178809.

It is an arithmetic number, because the mean of its divisors is an integer number (223736161740).

Almost surely, 2^{13194965518900} is an apocalyptic number.

13194965518900 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 13194965518900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109003645280).

13194965518900 is an abundant number, since it is smaller than the sum of its proper divisors (19023041771660).

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

13194965518900 is a wasteful number, since it uses less digits than its factorization.

13194965518900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391714 (or 1391707 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 61.

The spelling of 13194965518900 in words is "thirteen trillion, one hundred ninety-four billion, nine hundred sixty-five million, five hundred eighteen thousand, nine hundred".