1283315569272 has 192 divisors, whose sum is σ = 3865462773120. Its totient is φ = 381348000000.

The previous prime is 1283315569247. The next prime is 1283315569313. The reversal of 1283315569272 is 2729655133821.

1283315569272 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 3 + 1 + 5 + 569 + 2 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15951147 + ... + 16031397.

It is an arithmetic number, because the mean of its divisors is an integer number (20132618610).

Almost surely, 2^{1283315569272} is an apocalyptic number.

1283315569272 is a gapful number since it is divisible by the number (12) 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 1283315569272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932731386560).

1283315569272 is an abundant number, since it is smaller than the sum of its proper divisors (2582147203848).

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

1283315569272 is a wasteful number, since it uses less digits than its factorization.

1283315569272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80666 (or 80659 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1283315569272 in words is "one trillion, two hundred eighty-three billion, three hundred fifteen million, five hundred sixty-nine thousand, two hundred seventy-two".