13294867996800 has 960 divisors, whose sum is σ = 52943309301960. Its totient is φ = 3265870233600.

The previous prime is 13294867996799. The next prime is 13294867996807. The reversal of 13294867996800 is 869976849231.

13294867996800 is a `hidden beast` number, since 13 + 2 + 9 + 486 + 79 + 9 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1276664970816 + 12018203025984 = 1129896^2 + 3466728^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13294867996807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1755557814 + ... + 1755565386.

Almost surely, 2^{13294867996800} is an apocalyptic number.

13294867996800 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 13294867996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26471654650980).

13294867996800 is an abundant number, since it is smaller than the sum of its proper divisors (39648441305160).

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

13294867996800 is a wasteful number, since it uses less digits than its factorization.

13294867996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 13294867996800 in words is "thirteen trillion, two hundred ninety-four billion, eight hundred sixty-seven million, nine hundred ninety-six thousand, eight hundred".