1288800286816 has 48 divisors (see below), whose sum is σ = 2899885466016. Its totient is φ = 552326823936.

The previous prime is 1288800286757. The next prime is 1288800286861. The reversal of 1288800286816 is 6186820088821.

It is a super-2 number, since 2×1288800286816² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10628320 + ... + 10748896.

It is an arithmetic number, because the mean of its divisors is an integer number (60414280542).

Almost surely, 2^{1288800286816} is an apocalyptic number.

1288800286816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1288800286816 is an abundant number, since it is smaller than the sum of its proper divisors (1611085179200).

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

1288800286816 is a wasteful number, since it uses less digits than its factorization.

1288800286816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168311 (or 168303 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 58.

The spelling of 1288800286816 in words is "one trillion, two hundred eighty-eight billion, eight hundred million, two hundred eighty-six thousand, eight hundred sixteen".