12799229398560 has 2592 divisors, whose sum is σ = 53837091322560. Its totient is φ = 2866947747840.

The previous prime is 12799229398547. The next prime is 12799229398619. The reversal of 12799229398560 is 6589392299721.

12799229398560 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 9 + 2 + 29 + 39 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 92080786971 + ... + 92080787109.

Almost surely, 2^{12799229398560} is an apocalyptic number.

12799229398560 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 12799229398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918545661280).

12799229398560 is an abundant number, since it is smaller than the sum of its proper divisors (41037861924000).

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

12799229398560 is a wasteful number, since it uses less digits than its factorization.

12799229398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 12799229398560 in words is "twelve trillion, seven hundred ninety-nine billion, two hundred twenty-nine million, three hundred ninety-eight thousand, five hundred sixty".