871102071355264 has 128 divisors (see below), whose sum is σ = 2004124628560320. Its totient is φ = 369413332992000.

The previous prime is 871102071355249. The next prime is 871102071355301. The reversal of 871102071355264 is 462553170201178.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477191914 + ... + 479013910.

Almost surely, 2^{871102071355264} 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 871102071355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002062314280160).

871102071355264 is an abundant number, since it is smaller than the sum of its proper divisors (1133022557205056).

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

871102071355264 is a wasteful number, since it uses less digits than its factorization.

871102071355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827616 (or 1827604 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 871102071355264 in words is "eight hundred seventy-one trillion, one hundred two billion, seventy-one million, three hundred fifty-five thousand, two hundred sixty-four".