871610880000 has 1040 divisors, whose sum is σ = 3432568426496. Its totient is φ = 192430080000.

The previous prime is 871610879989. The next prime is 871610880013. The reversal of 871610880000 is 88016178.

It is a super-2 number, since 2×871610880000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1666559739 + ... + 1666560261.

Almost surely, 2^871610880000 is an apocalyptic number.

871610880000 is a gapful number since it is divisible by the number (80) 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 871610880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716284213248).

871610880000 is an abundant number, since it is smaller than the sum of its proper divisors (2560957546496).

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

871610880000 is an equidigital number, since it uses as much as digits as its factorization.

871610880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

Adding to 871610880000 its reverse (88016178), we get a palindrome (871698896178).

The spelling of 871610880000 in words is "eight hundred seventy-one billion, six hundred ten million, eight hundred eighty thousand".