875135210976 has 288 divisors, whose sum is σ = 2771728098048. Its totient is φ = 260099112960.

The previous prime is 875135210947. The next prime is 875135211001. The reversal of 875135210976 is 679012531578.

875135210976 is a `hidden beast` number, since 8 + 7 + 513 + 52 + 1 + 0 + 9 + 76 = 666.

875135210976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64640880 + ... + 64654416.

It is an arithmetic number, because the mean of its divisors is an integer number (9624055896).

Almost surely, 2^875135210976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875135210976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385864049024).

875135210976 is an abundant number, since it is smaller than the sum of its proper divisors (1896592887072).

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

875135210976 is a wasteful number, since it uses less digits than its factorization.

875135210976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154 (or 14143 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 875135210976 in words is "eight hundred seventy-five billion, one hundred thirty-five million, two hundred ten thousand, nine hundred seventy-six".