1288272231936 has 400 divisors, whose sum is σ = 3974777097984. Its totient is φ = 415171547136.

The previous prime is 1288272231931. The next prime is 1288272231971. The reversal of 1288272231936 is 6391322728821.

1288272231936 is a `hidden beast` number, since 1 + 28 + 8 + 272 + 2 + 319 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288272231931) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 161778291 + ... + 161786253.

Almost surely, 2^{1288272231936} is an apocalyptic number.

1288272231936 is a gapful number since it is divisible by the number (16) 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 1288272231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987388548992).

1288272231936 is an abundant number, since it is smaller than the sum of its proper divisors (2686504866048).

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

1288272231936 is an frugal number, since it uses more digits than its factorization.

1288272231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8098 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1288272231936 in words is "one trillion, two hundred eighty-eight billion, two hundred seventy-two million, two hundred thirty-one thousand, nine hundred thirty-six".