875388967200 has 360 divisors, whose sum is σ = 3482591943600. Its totient is φ = 212215334400.

The previous prime is 875388967199. The next prime is 875388967223. The reversal of 875388967200 is 2769883578.

875388967200 is a `hidden beast` number, since 8 + 7 + 538 + 8 + 96 + 7 + 2 + 0 + 0 = 666.

875388967200 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 (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98751 + ... + 1326849.

It is an arithmetic number, because the mean of its divisors is an integer number (9673866510).

Almost surely, 2^875388967200 is an apocalyptic number.

875388967200 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 875388967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741295971800).

875388967200 is an abundant number, since it is smaller than the sum of its proper divisors (2607202976400).

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

875388967200 is a wasteful number, since it uses less digits than its factorization.

875388967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228142 (or 1228120 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 875388967200 in words is "eight hundred seventy-five billion, three hundred eighty-eight million, nine hundred sixty-seven thousand, two hundred".