871180047360 has 1408 divisors, whose sum is σ = 3804472320000. Its totient is φ = 188451422208.

The previous prime is 871180047347. The next prime is 871180047389. The reversal of 871180047360 is 63740081178.

871180047360 is a `hidden beast` number, since 8 + 7 + 118 + 0 + 0 + 473 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 900909597 + ... + 900910563.

It is an arithmetic number, because the mean of its divisors is an integer number (2702040000).

Almost surely, 2^871180047360 is an apocalyptic number.

871180047360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871180047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902236160000).

871180047360 is an abundant number, since it is smaller than the sum of its proper divisors (2933292272640).

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

871180047360 is a wasteful number, since it uses less digits than its factorization.

871180047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 871180047360 in words is "eight hundred seventy-one billion, one hundred eighty million, forty-seven thousand, three hundred sixty".