875184909480 has 432 divisors, whose sum is σ = 3343831131420. Its totient is φ = 197942427648.

The previous prime is 875184909397. The next prime is 875184909497. The reversal of 875184909480 is 84909481578.

875184909480 is a `hidden beast` number, since 8 + 7 + 51 + 8 + 490 + 94 + 8 + 0 = 666.

875184909480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 329202832644 + 545982076836 = 573762^2 + 738906^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 165972124 + ... + 165977396.

Almost surely, 2^875184909480 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 875184909480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671915565710).

875184909480 is an abundant number, since it is smaller than the sum of its proper divisors (2468646221940).

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

875184909480 is a wasteful number, since it uses less digits than its factorization.

875184909480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 875184909480 in words is "eight hundred seventy-five billion, one hundred eighty-four million, nine hundred nine thousand, four hundred eighty".