20004417504 has 192 divisors, whose sum is σ = 59413435200. Its totient is φ = 6547267584.

The previous prime is 20004417481. The next prime is 20004417527. The reversal of 20004417504 is 40571440002.

It is an interprime number because it is at equal distance from previous prime (20004417481) and next prime (20004417527).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12071844 + ... + 12073500.

It is an arithmetic number, because the mean of its divisors is an integer number (309444975).

Almost surely, 2^20004417504 is an apocalyptic number.

20004417504 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 20004417504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29706717600).

20004417504 is an abundant number, since it is smaller than the sum of its proper divisors (39409017696).

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

20004417504 is a wasteful number, since it uses less digits than its factorization.

20004417504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 20004417504 its reverse (40571440002), we get a palindrome (60575857506).

The spelling of 20004417504 in words is "twenty billion, four million, four hundred seventeen thousand, five hundred four".