871608960000 has 495 divisors, whose sum is σ = 3153038689801. Its totient is φ = 231831552000.

The previous prime is 871608959987. The next prime is 871608960037. The reversal of 871608960000 is 69806178.

It is a happy number.

The square root of 871608960000 is 933600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 828769895424 + 42839064576 = 910368^2 + 206976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2240639806 + ... + 2240640194.

Almost surely, 2^871608960000 is an apocalyptic number.

871608960000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

871608960000 is the 933600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871608960000

871608960000 is an abundant number, since it is smaller than the sum of its proper divisors (2281429729801).

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

871608960000 is an frugal number, since it uses more digits than its factorization.

871608960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 871608960000 in words is "eight hundred seventy-one billion, six hundred eight million, nine hundred sixty thousand".