871533785760 has 864 divisors, whose sum is σ = 3237460591680. Its totient is φ = 196880302080.

The previous prime is 871533785747. The next prime is 871533785761. The reversal of 871533785760 is 67587335178.

871533785760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×871533785760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 871533785694 and 871533785703.

It is not an unprimeable number, because it can be changed into a prime (871533785761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2299561251 + ... + 2299561629.

It is an arithmetic number, because the mean of its divisors is an integer number (3747060870).

Almost surely, 2^871533785760 is an apocalyptic number.

871533785760 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 871533785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618730295840).

871533785760 is an abundant number, since it is smaller than the sum of its proper divisors (2365926805920).

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

871533785760 is a wasteful number, since it uses less digits than its factorization.

871533785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 871533785760 in words is "eight hundred seventy-one billion, five hundred thirty-three million, seven hundred eighty-five thousand, seven hundred sixty".