1271064768600 has 384 divisors, whose sum is σ = 4555090598400. Its totient is φ = 289773772800.

The previous prime is 1271064768599. The next prime is 1271064768667. The reversal of 1271064768600 is 68674601721.

It is a self number, because there is not a number n which added to its sum of digits gives 1271064768600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162349486 + ... + 162357314.

It is an arithmetic number, because the mean of its divisors is an integer number (11862215100).

Almost surely, 2^{1271064768600} is an apocalyptic number.

1271064768600 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 1271064768600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277545299200).

1271064768600 is an abundant number, since it is smaller than the sum of its proper divisors (3284025829800).

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

1271064768600 is a wasteful number, since it uses less digits than its factorization.

1271064768600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9323 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1271064768600 in words is "one trillion, two hundred seventy-one billion, sixty-four million, seven hundred sixty-eight thousand, six hundred".