1272884405760 has 640 divisors, whose sum is σ = 5222622873600. Its totient is φ = 290423439360.

The previous prime is 1272884405669. The next prime is 1272884405761. The reversal of 1272884405760 is 675044882721.

1272884405760 is a `hidden beast` number, since 1 + 2 + 7 + 28 + 8 + 4 + 40 + 576 + 0 = 666.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 1272884405697 and 1272884405706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272884405761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12876201 + ... + 12974679.

It is an arithmetic number, because the mean of its divisors is an integer number (8160348240).

Almost surely, 2^{1272884405760} is an apocalyptic number.

1272884405760 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 1272884405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611311436800).

1272884405760 is an abundant number, since it is smaller than the sum of its proper divisors (3949738467840).

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

1272884405760 is a wasteful number, since it uses less digits than its factorization.

1272884405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98539 (or 98517 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 1272884405760 in words is "one trillion, two hundred seventy-two billion, eight hundred eighty-four million, four hundred five thousand, seven hundred sixty".