1288055851632 has 120 divisors (see below), whose sum is σ = 3954200800368. Its totient is φ = 388163404800.

The previous prime is 1288055851571. The next prime is 1288055851633. The reversal of 1288055851632 is 2361585508821.

1288055851632 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 0 + 558 + 51 + 6 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288055851633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1959613 + ... + 2533020.

Almost surely, 2^{1288055851632} is an apocalyptic number.

1288055851632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1288055851632 is an abundant number, since it is smaller than the sum of its proper divisors (2666144948736).

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

1288055851632 is a wasteful number, since it uses less digits than its factorization.

1288055851632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492839 (or 4492830 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 1288055851632 in words is "one trillion, two hundred eighty-eight billion, fifty-five million, eight hundred fifty-one thousand, six hundred thirty-two".