871864036416 has 840 divisors, whose sum is σ = 2876097554880. Its totient is φ = 260340480000.

The previous prime is 871864036399. The next prime is 871864036427. The reversal of 871864036416 is 614630468178.

871864036416 is a `hidden beast` number, since 8 + 7 + 186 + 40 + 3 + 6 + 416 = 666.

871864036416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5773933941 + ... + 5773934091.

Almost surely, 2^871864036416 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 871864036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438048777440).

871864036416 is an abundant number, since it is smaller than the sum of its proper divisors (2004233518464).

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

871864036416 is a wasteful number, since it uses less digits than its factorization.

871864036416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 871864036416 in words is "eight hundred seventy-one billion, eight hundred sixty-four million, thirty-six thousand, four hundred sixteen".