13128678763200 has 6048 divisors, whose sum is σ = 70237299525120. Its totient is φ = 2303388057600.

The previous prime is 13128678763169. The next prime is 13128678763223. The reversal of 13128678763200 is 236787682131.

It is a happy number.

13128678763200 is a `hidden beast` number, since 1 + 31 + 286 + 7 + 8 + 7 + 6 + 320 + 0 = 666.

13128678763200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 452713060786 + ... + 452713060814.

Almost surely, 2^{13128678763200} is an apocalyptic number.

13128678763200 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 13128678763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35118649762560).

13128678763200 is an abundant number, since it is smaller than the sum of its proper divisors (57108620761920).

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

13128678763200 is a wasteful number, since it uses less digits than its factorization.

13128678763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13128678763200 in words is "thirteen trillion, one hundred twenty-eight billion, six hundred seventy-eight million, seven hundred sixty-three thousand, two hundred".