1271957395968 has 480 divisors, whose sum is σ = 4375341210240. Its totient is φ = 361363783680.

The previous prime is 1271957395939. The next prime is 1271957395991. The reversal of 1271957395968 is 8695937591721.

1271957395968 is a `hidden beast` number, since 1 + 27 + 1 + 9 + 5 + 7 + 3 + 9 + 596 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1271957395896 and 1271957395905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157631038 + ... + 157639106.

It is an arithmetic number, because the mean of its divisors is an integer number (9115294188).

Almost surely, 2^{1271957395968} is an apocalyptic number.

1271957395968 is a gapful number since it is divisible by the number (18) 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 1271957395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187670605120).

1271957395968 is an abundant number, since it is smaller than the sum of its proper divisors (3103383814272).

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

1271957395968 is an frugal number, since it uses more digits than its factorization.

1271957395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8290 (or 8262 counting only the distinct ones).

The product of its digits is 257191200, while the sum is 72.

The spelling of 1271957395968 in words is "one trillion, two hundred seventy-one billion, nine hundred fifty-seven million, three hundred ninety-five thousand, nine hundred sixty-eight".