1271359877760 has 640 divisors, whose sum is σ = 5356293719040. Its totient is φ = 281219973120.

The previous prime is 1271359877759. The next prime is 1271359877761. The reversal of 1271359877760 is 677789531721.

1271359877760 is a `hidden beast` number, since 1 + 27 + 13 + 598 + 7 + 7 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1271359877759) and next prime (1271359877761).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (1271359877761) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11192772 + ... + 11305788.

It is an arithmetic number, because the mean of its divisors is an integer number (8369208936).

Almost surely, 2^{1271359877760} is an apocalyptic number.

1271359877760 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 1271359877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678146859520).

1271359877760 is an abundant number, since it is smaller than the sum of its proper divisors (4084933841280).

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

1271359877760 is a wasteful number, since it uses less digits than its factorization.

1271359877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113086 (or 113065 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 1271359877760 in words is "one trillion, two hundred seventy-one billion, three hundred fifty-nine million, eight hundred seventy-seven thousand, seven hundred sixty".