1002871721808 has 500 divisors, whose sum is σ = 3381743682900. Its totient is φ = 285932021760.

The previous prime is 1002871721767. The next prime is 1002871721821. The reversal of 1002871721808 is 8081271782001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 473685309504 + 529186412304 = 688248^2 + 727452^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 322568958 + ... + 322572066.

Almost surely, 2^{1002871721808} is an apocalyptic number.

1002871721808 is a gapful number since it is divisible by the number (18) 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 1002871721808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690871841450).

1002871721808 is an abundant number, since it is smaller than the sum of its proper divisors (2378871961092).

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

1002871721808 is an equidigital number, since it uses as much as digits as its factorization.

1002871721808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 1002871721808 in words is "one trillion, two billion, eight hundred seventy-one million, seven hundred twenty-one thousand, eight hundred eight".