1288827025776 has 80 divisors (see below), whose sum is σ = 3701547743520. Its totient is φ = 429360860160.

The previous prime is 1288827025729. The next prime is 1288827025817. The reversal of 1288827025776 is 6775207288821.

It is a super-2 number, since 2×1288827025776² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 112105 + ... + 1609416.

It is an arithmetic number, because the mean of its divisors is an integer number (46269346794).

Almost surely, 2^{1288827025776} is an apocalyptic number.

1288827025776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1288827025776 is an abundant number, since it is smaller than the sum of its proper divisors (2412720717744).

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

1288827025776 is a wasteful number, since it uses less digits than its factorization.

1288827025776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723271 (or 1723259 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 1288827025776 in words is "one trillion, two hundred eighty-eight billion, eight hundred twenty-seven million, twenty-five thousand, seven hundred seventy-six".