2871149568000 has 1792 divisors, whose sum is σ = 11619861626880. Its totient is φ = 615776256000.

The previous prime is 2871149567987. The next prime is 2871149568019. The reversal of 2871149568000 is 8659411782.

It is a tau number, because it is divible by the number of its divisors (1792).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39330815964 + ... + 39330816036.

Almost surely, 2^{2871149568000} is an apocalyptic number.

2871149568000 is a gapful number since it is divisible by the number (20) 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 2871149568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809930813440).

2871149568000 is an abundant number, since it is smaller than the sum of its proper divisors (8748712058880).

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

2871149568000 is an equidigital number, since it uses as much as digits as its factorization.

2871149568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 2871149568000 in words is "two trillion, eight hundred seventy-one billion, one hundred forty-nine million, five hundred sixty-eight thousand".