1272163156704 has 1008 divisors, whose sum is σ = 4473010128384. Its totient is φ = 352635379200.

The previous prime is 1272163156681. The next prime is 1272163156741. The reversal of 1272163156704 is 4076513612721.

1272163156704 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 631 + 5 + 6 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1272163156704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2871699907 + ... + 2871700349.

It is an arithmetic number, because the mean of its divisors is an integer number (4437510048).

Almost surely, 2^{1272163156704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272163156704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236505064192).

1272163156704 is an abundant number, since it is smaller than the sum of its proper divisors (3200846971680).

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

1272163156704 is a wasteful number, since it uses less digits than its factorization.

1272163156704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1272163156704 in words is "one trillion, two hundred seventy-two billion, one hundred sixty-three million, one hundred fifty-six thousand, seven hundred four".