871201052789760 has 7040 divisors, whose sum is σ = 4180734632448000. Its totient is φ = 171736600412160.

The previous prime is 871201052789719. The next prime is 871201052789807. The reversal of 871201052789760 is 67987250102178.

871201052789760 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 0 + 10 + 527 + 8 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 639 ways as a sum of consecutive naturals, for example, 3312551531389 + ... + 3312551531651.

It is an arithmetic number, because the mean of its divisors is an integer number (593854351200).

Almost surely, 2^{871201052789760} is an apocalyptic number.

871201052789760 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 871201052789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090367316224000).

871201052789760 is an abundant number, since it is smaller than the sum of its proper divisors (3309533579658240).

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

871201052789760 is a wasteful number, since it uses less digits than its factorization.

871201052789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 871201052789760 in words is "eight hundred seventy-one trillion, two hundred one billion, fifty-two million, seven hundred eighty-nine thousand, seven hundred sixty".