20996010000 has 1125 divisors, whose sum is σ = 92341746651. Its totient is φ = 4590432000.

The previous prime is 20996009981. The next prime is 20996010001. The reversal of 20996010000 is 1069902.

It is a happy number.

The square root of 20996010000 is 144900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1646087184 + 19349922816 = 40572^2 + 139104^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20996010001) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 912869989 + ... + 912870011.

Almost surely, 2^20996010000 is an apocalyptic number.

20996010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20996010000 is the 144900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20996010000

20996010000 is an abundant number, since it is smaller than the sum of its proper divisors (71345736651).

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

20996010000 is an equidigital number, since it uses as much as digits as its factorization.

20996010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 20996010000 its reverse (1069902), we get a palindrome (20997079902).

The spelling of 20996010000 in words is "twenty billion, nine hundred ninety-six million, ten thousand".