871797753216 has 384 divisors, whose sum is σ = 2724408086400. Its totient is φ = 265998974976.

The previous prime is 871797753199. The next prime is 871797753221. The reversal of 871797753216 is 612357797178.

871797753216 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 97 + 7 + 532 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335065146 + ... + 1335065798.

It is an arithmetic number, because the mean of its divisors is an integer number (7094812725).

Almost surely, 2^871797753216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871797753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362204043200).

871797753216 is an abundant number, since it is smaller than the sum of its proper divisors (1852610333184).

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

871797753216 is a wasteful number, since it uses less digits than its factorization.

871797753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1283 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 63.

The spelling of 871797753216 in words is "eight hundred seventy-one billion, seven hundred ninety-seven million, seven hundred fifty-three thousand, two hundred sixteen".