875960241408 has 504 divisors, whose sum is σ = 3172374894528. Its totient is φ = 235546361856.

The previous prime is 875960241371. The next prime is 875960241413. The reversal of 875960241408 is 804142069578.

It is a happy number.

875960241408 is a `hidden beast` number, since 8 + 7 + 596 + 0 + 2 + 4 + 1 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22188535 + ... + 22227977.

It is an arithmetic number, because the mean of its divisors is an integer number (6294394632).

Almost surely, 2^875960241408 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 875960241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586187447264).

875960241408 is an abundant number, since it is smaller than the sum of its proper divisors (2296414653120).

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

875960241408 is an equidigital number, since it uses as much as digits as its factorization.

875960241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39501 (or 39472 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 875960241408 in words is "eight hundred seventy-five billion, nine hundred sixty million, two hundred forty-one thousand, four hundred eight".