1288377781632 has 256 divisors, whose sum is σ = 4039379520000. Its totient is φ = 403121276928.

The previous prime is 1288377781619. The next prime is 1288377781637. The reversal of 1288377781632 is 2361877738821.

1288377781632 is a `hidden beast` number, since 128 + 8 + 377 + 7 + 81 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1288377781632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288377781637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7067373 + ... + 7247379.

It is an arithmetic number, because the mean of its divisors is an integer number (15778826250).

Almost surely, 2^{1288377781632} is an apocalyptic number.

1288377781632 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 1288377781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019689760000).

1288377781632 is an abundant number, since it is smaller than the sum of its proper divisors (2751001738368).

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

1288377781632 is a wasteful number, since it uses less digits than its factorization.

1288377781632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180158 (or 180140 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 1288377781632 in words is "one trillion, two hundred eighty-eight billion, three hundred seventy-seven million, seven hundred eighty-one thousand, six hundred thirty-two".