20365968000 has 512 divisors, whose sum is σ = 78796224000. Its totient is φ = 4651315200.

The previous prime is 20365967981. The next prime is 20365968013. The reversal of 20365968000 is 86956302.

It is a self number, because there is not a number n which added to its sum of digits gives 20365968000.

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 63 ways as a sum of consecutive naturals, for example, 16463382 + ... + 16464618.

It is an arithmetic number, because the mean of its divisors is an integer number (153898875).

Almost surely, 2^20365968000 is an apocalyptic number.

20365968000 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 20365968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398112000).

20365968000 is an abundant number, since it is smaller than the sum of its proper divisors (58430256000).

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

20365968000 is an equidigital number, since it uses as much as digits as its factorization.

20365968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 20365968000 in words is "twenty billion, three hundred sixty-five million, nine hundred sixty-eight thousand".