1279727972352 has 936 divisors, whose sum is σ = 4217984151264. Its totient is φ = 372778205184.

The previous prime is 1279727972273. The next prime is 1279727972401. The reversal of 1279727972352 is 2532797279721.

It is a happy number.

1279727972352 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 7 + 279 + 7 + 2 + 352 = 666.

It is a super-2 number, since 2×1279727972352² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1279727972352.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11325026248 + ... + 11325026360.

It is an arithmetic number, because the mean of its divisors is an integer number (4506393324).

Almost surely, 2^{1279727972352} is an apocalyptic number.

1279727972352 is a gapful number since it is divisible by the number (12) 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 1279727972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108992075632).

1279727972352 is an abundant number, since it is smaller than the sum of its proper divisors (2938256178912).

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

1279727972352 is a wasteful number, since it uses less digits than its factorization.

1279727972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 197 counting only the distinct ones).

The product of its digits is 46675440, while the sum is 63.

The spelling of 1279727972352 in words is "one trillion, two hundred seventy-nine billion, seven hundred twenty-seven million, nine hundred seventy-two thousand, three hundred fifty-two".