10004560009164 has 288 divisors, whose sum is σ = 30872157388800. Its totient is φ = 2668183390080.

The previous prime is 10004560009151. The next prime is 10004560009189. The reversal of 10004560009164 is 46190006540001.

10004560009164 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 560 + 0 + 0 + 91 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184181569 + ... + 184235879.

Almost surely, 2^{10004560009164} is an apocalyptic number.

10004560009164 is a gapful number since it is divisible by the number (14) 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 10004560009164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436078694400).

10004560009164 is an abundant number, since it is smaller than the sum of its proper divisors (20867597379636).

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

10004560009164 is a wasteful number, since it uses less digits than its factorization.

10004560009164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54913 (or 54908 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10004560009164 its reverse (46190006540001), we get a palindrome (56194566549165).

The spelling of 10004560009164 in words is "ten trillion, four billion, five hundred sixty million, nine thousand, one hundred sixty-four".