13187759785200 has 6480 divisors, whose sum is σ = 69928819519104. Its totient is φ = 2345191833600.

The previous prime is 13187759785181. The next prime is 13187759785231. The reversal of 13187759785200 is 258795778131.

13187759785200 is a `hidden beast` number, since 1 + 3 + 18 + 7 + 7 + 5 + 97 + 8 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 196832235567 + ... + 196832235633.

Almost surely, 2^{13187759785200} is an apocalyptic number.

13187759785200 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 13187759785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34964409759552).

13187759785200 is an abundant number, since it is smaller than the sum of its proper divisors (56741059733904).

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

13187759785200 is a wasteful number, since it uses less digits than its factorization.

13187759785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 13187759785200 in words is "thirteen trillion, one hundred eighty-seven billion, seven hundred fifty-nine million, seven hundred eighty-five thousand, two hundred".