1272646460160 has 1152 divisors, whose sum is σ = 5070231936000. Its totient is φ = 300392644608.

The previous prime is 1272646460159. The next prime is 1272646460171. The reversal of 1272646460160 is 610646462721.

1272646460160 is a `hidden beast` number, since 1 + 2 + 7 + 26 + 4 + 6 + 460 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1931177911 + ... + 1931178569.

It is an arithmetic number, because the mean of its divisors is an integer number (4401243000).

Almost surely, 2^{1272646460160} is an apocalyptic number.

1272646460160 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 1272646460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535115968000).

1272646460160 is an abundant number, since it is smaller than the sum of its proper divisors (3797585475840).

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

1272646460160 is a wasteful number, since it uses less digits than its factorization.

1272646460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1272646460160 in words is "one trillion, two hundred seventy-two billion, six hundred forty-six million, four hundred sixty thousand, one hundred sixty".