12827387797920 has 240 divisors, whose sum is σ = 45343867421160. Its totient is φ = 3415054473216.

The previous prime is 12827387797909. The next prime is 12827387797979. The reversal of 12827387797920 is 2979778372821.

12827387797920 is a `hidden beast` number, since 12 + 82 + 7 + 387 + 79 + 7 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1543190031504 + 11284197766416 = 1242252^2 + 3359196^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7137166 + ... + 8751794.

Almost surely, 2^{12827387797920} is an apocalyptic number.

12827387797920 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 12827387797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671933710580).

12827387797920 is an abundant number, since it is smaller than the sum of its proper divisors (32516479623240).

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

12827387797920 is a wasteful number, since it uses less digits than its factorization.

12827387797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615269 (or 1615252 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 12827387797920 in words is "twelve trillion, eight hundred twenty-seven billion, three hundred eighty-seven million, seven hundred ninety-seven thousand, nine hundred twenty".