20795623200 has 432 divisors, whose sum is σ = 80615152800. Its totient is φ = 5002444800.

The previous prime is 20795623187. The next prime is 20795623231. The reversal of 20795623200 is 232659702.

20795623200 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 5 + 623 + 20 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11007856 + ... + 11009744.

It is an arithmetic number, because the mean of its divisors is an integer number (186609150).

Almost surely, 2^20795623200 is an apocalyptic number.

20795623200 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 20795623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40307576400).

20795623200 is an abundant number, since it is smaller than the sum of its proper divisors (59819529600).

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

20795623200 is a wasteful number, since it uses less digits than its factorization.

20795623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20795623200 in words is "twenty billion, seven hundred ninety-five million, six hundred twenty-three thousand, two hundred".