10004604120 has 192 divisors, whose sum is σ = 37212552000. Its totient is φ = 2283531264.

The previous prime is 10004604089. The next prime is 10004604139. The reversal of 10004604120 is 2140640001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10004604093 and 10004604102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086686 + ... + 2091474.

It is an arithmetic number, because the mean of its divisors is an integer number (193815375).

Almost surely, 2^10004604120 is an apocalyptic number.

10004604120 is a gapful number since it is divisible by the number (10) 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 10004604120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606276000).

10004604120 is an abundant number, since it is smaller than the sum of its proper divisors (27207947880).

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

10004604120 is a wasteful number, since it uses less digits than its factorization.

10004604120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10004604120 in words is "ten billion, four million, six hundred four thousand, one hundred twenty".