875405027952 has 720 divisors, whose sum is σ = 3130110517248. Its totient is φ = 223493437440.

The previous prime is 875405027843. The next prime is 875405027957. The reversal of 875405027952 is 259720504578.

875405027952 is a `hidden beast` number, since 8 + 7 + 5 + 40 + 502 + 7 + 95 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875405027957) 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 143 ways as a sum of consecutive naturals, for example, 930291802 + ... + 930292742.

Almost surely, 2^875405027952 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 875405027952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565055258624).

875405027952 is an abundant number, since it is smaller than the sum of its proper divisors (2254705489296).

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

875405027952 is a wasteful number, since it uses less digits than its factorization.

875405027952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 875405027952 in words is "eight hundred seventy-five billion, four hundred five million, twenty-seven thousand, nine hundred fifty-two".