1288384870500 has 2304 divisors, whose sum is σ = 5563560038400. Its totient is φ = 243545702400.

The previous prime is 1288384870483. The next prime is 1288384870567. The reversal of 1288384870500 is 50784838821.

1288384870500 is a `hidden beast` number, since 1 + 2 + 88 + 38 + 487 + 0 + 50 + 0 = 666.

It is a super-4 number, since 4×1288384870500⁴ (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 14476234456 + ... + 14476234544.

It is an arithmetic number, because the mean of its divisors is an integer number (2414739600).

Almost surely, 2^{1288384870500} is an apocalyptic number.

1288384870500 is a gapful number since it is divisible by the number (10) 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 1288384870500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781780019200).

1288384870500 is an abundant number, since it is smaller than the sum of its proper divisors (4275175167900).

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

1288384870500 is a wasteful number, since it uses less digits than its factorization.

1288384870500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 1288384870500 in words is "one trillion, two hundred eighty-eight billion, three hundred eighty-four million, eight hundred seventy thousand, five hundred".