871415607033072 has 320 divisors, whose sum is σ = 2614606931827200. Its totient is φ = 277599392870400.

The previous prime is 871415607033017. The next prime is 871415607033073. The reversal of 871415607033072 is 270330706514178.

871415607033072 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 1 + 560 + 7 + 0 + 3 + 3 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871415607033073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1132225563 + ... + 1132994949.

It is an arithmetic number, because the mean of its divisors is an integer number (8170646661960).

Almost surely, 2^{871415607033072} 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 871415607033072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307303465913600).

871415607033072 is an abundant number, since it is smaller than the sum of its proper divisors (1743191324794128).

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

871415607033072 is a wasteful number, since it uses less digits than its factorization.

871415607033072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770701 (or 770689 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 871415607033072 in words is "eight hundred seventy-one trillion, four hundred fifteen billion, six hundred seven million, thirty-three thousand, seventy-two".