20995072000 has 448 divisors, whose sum is σ = 62564711040. Its totient is φ = 6881280000.

The previous prime is 20995071983. The next prime is 20995072001. The reversal of 20995072000 is 27059902.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20995072001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 207871950 + ... + 207872050.

Almost surely, 2^20995072000 is an apocalyptic number.

20995072000 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 20995072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31282355520).

20995072000 is an abundant number, since it is smaller than the sum of its proper divisors (41569639040).

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

20995072000 is an equidigital number, since it uses as much as digits as its factorization.

20995072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 20995072000 in words is "twenty billion, nine hundred ninety-five million, seventy-two thousand".