13276456759200 has 288 divisors, whose sum is σ = 45448867086336. Its totient is φ = 3359791733760.

The previous prime is 13276456759187. The next prime is 13276456759277. The reversal of 13276456759200 is 295765467231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6063489 + ... + 7957311.

It is an arithmetic number, because the mean of its divisors is an integer number (157808566272).

Almost surely, 2^{13276456759200} is an apocalyptic number.

13276456759200 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 13276456759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22724433543168).

13276456759200 is an abundant number, since it is smaller than the sum of its proper divisors (32172410327136).

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

13276456759200 is a wasteful number, since it uses less digits than its factorization.

13276456759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893996 (or 1893983 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 13276456759200 in words is "thirteen trillion, two hundred seventy-six billion, four hundred fifty-six million, seven hundred fifty-nine thousand, two hundred".