1271827956672 has 1568 divisors, whose sum is σ = 5023741105152. Its totient is φ = 309801811968.

The previous prime is 1271827956631. The next prime is 1271827956781. The reversal of 1271827956672 is 2766597281721.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 4835847613 + ... + 4835847875.

Almost surely, 2^{1271827956672} is an apocalyptic number.

1271827956672 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 1271827956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511870552576).

1271827956672 is an abundant number, since it is smaller than the sum of its proper divisors (3751913148480).

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

1271827956672 is a wasteful number, since it uses less digits than its factorization.

1271827956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 372 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 1271827956672 in words is "one trillion, two hundred seventy-one billion, eight hundred twenty-seven million, nine hundred fifty-six thousand, six hundred seventy-two".