875239968240 has 320 divisors, whose sum is σ = 3402189388800. Its totient is φ = 204862694400.

The previous prime is 875239968121. The next prime is 875239968257. The reversal of 875239968240 is 42869932578.

875239968240 is a `hidden beast` number, since 8 + 7 + 523 + 9 + 9 + 68 + 2 + 40 = 666.

875239968240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 53925 + ... + 1324155.

It is an arithmetic number, because the mean of its divisors is an integer number (10631841840).

Almost surely, 2^875239968240 is an apocalyptic number.

875239968240 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 875239968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701094694400).

875239968240 is an abundant number, since it is smaller than the sum of its proper divisors (2526949420560).

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

875239968240 is a wasteful number, since it uses less digits than its factorization.

875239968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270293 (or 1270281 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 875239968240 in words is "eight hundred seventy-five billion, two hundred thirty-nine million, nine hundred sixty-eight thousand, two hundred forty".