20004430875264 has 1024 divisors, whose sum is σ = 67914961920000. Its totient is φ = 5741113835520.

The previous prime is 20004430875223. The next prime is 20004430875287. The reversal of 20004430875264 is 46257803440002.

It is a happy number.

20004430875264 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 43 + 0 + 87 + 526 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12831577717 + ... + 12831579275.

It is an arithmetic number, because the mean of its divisors is an integer number (66323205000).

Almost surely, 2^{20004430875264} is an apocalyptic number.

20004430875264 is a gapful number since it is divisible by the number (24) 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 20004430875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33957480960000).

20004430875264 is an abundant number, since it is smaller than the sum of its proper divisors (47910531044736).

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

20004430875264 is a wasteful number, since it uses less digits than its factorization.

20004430875264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 20004430875264 in words is "twenty trillion, four billion, four hundred thirty million, eight hundred seventy-five thousand, two hundred sixty-four".