871267138560 has 704 divisors, whose sum is σ = 3810917913600. Its totient is φ = 183825137664.

The previous prime is 871267138543. The next prime is 871267138631. The reversal of 871267138560 is 65831762178.

It is a happy number.

871267138560 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 6 + 71 + 3 + 8 + 560 = 666.

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 = 871267138497 and 871267138506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12545211 + ... + 12614469.

Almost surely, 2^871267138560 is an apocalyptic number.

871267138560 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 871267138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905458956800).

871267138560 is an abundant number, since it is smaller than the sum of its proper divisors (2939650775040).

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

871267138560 is a wasteful number, since it uses less digits than its factorization.

871267138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69313 (or 69289 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 871267138560 in words is "eight hundred seventy-one billion, two hundred sixty-seven million, one hundred thirty-eight thousand, five hundred sixty".