871092448560 has 1200 divisors, whose sum is σ = 3374225553600. Its totient is φ = 207618453504.

The previous prime is 871092448559. The next prime is 871092448561. The reversal of 871092448560 is 65844290178.

It is a happy number.

871092448560 is a `hidden beast` number, since 8 + 7 + 10 + 9 + 24 + 48 + 560 = 666.

871092448560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (871092448559) and next prime (871092448561).

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

It is a junction number, because it is equal to n+sod(n) for n = 871092448497 and 871092448506.

It is not an unprimeable number, because it can be changed into a prime (871092448561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7991673786 + ... + 7991673894.

It is an arithmetic number, because the mean of its divisors is an integer number (2811854628).

Almost surely, 2^871092448560 is an apocalyptic number.

871092448560 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 871092448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687112776800).

871092448560 is an abundant number, since it is smaller than the sum of its proper divisors (2503133105040).

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

871092448560 is a wasteful number, since it uses less digits than its factorization.

871092448560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 871092448560 in words is "eight hundred seventy-one billion, ninety-two million, four hundred forty-eight thousand, five hundred sixty".