20789685504 has 720 divisors, whose sum is σ = 75186496000. Its totient is φ = 5706215424.

The previous prime is 20789685493. The next prime is 20789685523. The reversal of 20789685504 is 40558698702.

20789685504 is a `hidden beast` number, since 2 + 0 + 7 + 89 + 6 + 8 + 550 + 4 = 666.

It is a super-2 number, since 2×20789685504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 263160537 + ... + 263160615.

Almost surely, 2^20789685504 is an apocalyptic number.

20789685504 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 20789685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37593248000).

20789685504 is an abundant number, since it is smaller than the sum of its proper divisors (54396810496).

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

20789685504 is an frugal number, since it uses more digits than its factorization.

20789685504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20789685504 in words is "twenty billion, seven hundred eighty-nine million, six hundred eighty-five thousand, five hundred four".