871534563840 has 320 divisors, whose sum is σ = 3101811292800. Its totient is φ = 231955218432.

The previous prime is 871534563839. The next prime is 871534563841. The reversal of 871534563840 is 48365435178.

871534563840 is a `hidden beast` number, since 8 + 7 + 1 + 5 + 34 + 563 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (871534563839) and next prime (871534563841).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (871534563841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36137706 + ... + 36161814.

It is an arithmetic number, because the mean of its divisors is an integer number (9693160290).

Almost surely, 2^871534563840 is an apocalyptic number.

871534563840 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 871534563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550905646400).

871534563840 is an abundant number, since it is smaller than the sum of its proper divisors (2230276728960).

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

871534563840 is a wasteful number, since it uses less digits than its factorization.

871534563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24664 (or 24642 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 871534563840 in words is "eight hundred seventy-one billion, five hundred thirty-four million, five hundred sixty-three thousand, eight hundred forty".