20839161600 has 540 divisors, whose sum is σ = 78433860120. Its totient is φ = 5457715200.

The previous prime is 20839161593. The next prime is 20839161617. The reversal of 20839161600 is 616193802.

20839161600 is a `hidden beast` number, since 2 + 0 + 8 + 39 + 1 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31622071 + ... + 31622729.

Almost surely, 2^20839161600 is an apocalyptic number.

20839161600 is a gapful number since it is divisible by the number (20) 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 20839161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39216930060).

20839161600 is an abundant number, since it is smaller than the sum of its proper divisors (57594698520).

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

20839161600 is an equidigital number, since it uses as much as digits as its factorization.

20839161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20839161600 in words is "twenty billion, eight hundred thirty-nine million, one hundred sixty-one thousand, six hundred".