871125088000 has 288 divisors, whose sum is σ = 2214567875520. Its totient is φ = 341349580800.

The previous prime is 871125087983. The next prime is 871125088007. The reversal of 871125088000 is 880521178.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871125088007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 704223382 + ... + 704224618.

It is an arithmetic number, because the mean of its divisors is an integer number (7689471790).

Almost surely, 2^871125088000 is an apocalyptic number.

871125088000 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 871125088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107283937760).

871125088000 is an abundant number, since it is smaller than the sum of its proper divisors (1343442787520).

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

871125088000 is a wasteful number, since it uses less digits than its factorization.

871125088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 40.

The spelling of 871125088000 in words is "eight hundred seventy-one billion, one hundred twenty-five million, eighty-eight thousand".