1288906815960 has 128 divisors (see below), whose sum is σ = 4522480128000. Its totient is φ = 325618558848.

The previous prime is 1288906815953. The next prime is 1288906815961. The reversal of 1288906815960 is 695186098821.

1288906815960 is a `hidden beast` number, since 1 + 288 + 90 + 68 + 159 + 60 = 666.

It is a super-2 number, since 2×1288906815960² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288906815961) 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 31 ways as a sum of consecutive naturals, for example, 31385592 + ... + 31426631.

It is an arithmetic number, because the mean of its divisors is an integer number (35331876000).

Almost surely, 2^{1288906815960} is an apocalyptic number.

1288906815960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288906815960 is an abundant number, since it is smaller than the sum of its proper divisors (3233573312040).

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

1288906815960 is a wasteful number, since it uses less digits than its factorization.

1288906815960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62812262 (or 62812252 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 1288906815960 in words is "one trillion, two hundred eighty-eight billion, nine hundred six million, eight hundred fifteen thousand, nine hundred sixty".