1288794921568 has 384 divisors, whose sum is σ = 3450204979200. Its totient is φ = 459154483200.

The previous prime is 1288794921509. The next prime is 1288794921577. The reversal of 1288794921568 is 8651294978821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1288794921497 and 1288794921506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104105203 + ... + 104117581.

It is an arithmetic number, because the mean of its divisors is an integer number (8984908800).

Almost surely, 2^{1288794921568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288794921568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725102489600).

1288794921568 is an abundant number, since it is smaller than the sum of its proper divisors (2161410057632).

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

1288794921568 is a wasteful number, since it uses less digits than its factorization.

1288794921568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12514 (or 12506 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 70.

The spelling of 1288794921568 in words is "one trillion, two hundred eighty-eight billion, seven hundred ninety-four million, nine hundred twenty-one thousand, five hundred sixty-eight".