875409104610 has 640 divisors, whose sum is σ = 2569524249600. Its totient is φ = 213450080256.

The previous prime is 875409104597. The next prime is 875409104659. The reversal of 875409104610 is 16401904578.

875409104610 is a `hidden beast` number, since 8 + 7 + 540 + 91 + 0 + 4 + 6 + 10 = 666.

It is a super-2 number, since 2×875409104610² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5875228816 + ... + 5875228964.

It is an arithmetic number, because the mean of its divisors is an integer number (4014881640).

Almost surely, 2^875409104610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875409104610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284762124800).

875409104610 is an abundant number, since it is smaller than the sum of its proper divisors (1694115144990).

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

875409104610 is a wasteful number, since it uses less digits than its factorization.

875409104610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 875409104610 in words is "eight hundred seventy-five billion, four hundred nine million, one hundred four thousand, six hundred ten".