20996142496000 has 864 divisors, whose sum is σ = 62265019051872. Its totient is φ = 7031739187200.

The previous prime is 20996142495989. The next prime is 20996142496013. The reversal of 20996142496000 is 69424169902.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 17719115710464 + 3277026785536 = 4209408^2 + 1810256^2 .

It is a super-2 number, since 2×20996142496000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26343967602 + ... + 26343968398.

It is an arithmetic number, because the mean of its divisors is an integer number (72065994273).

Almost surely, 2^{20996142496000} is an apocalyptic number.

20996142496000 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 20996142496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31132509525936).

20996142496000 is an abundant number, since it is smaller than the sum of its proper divisors (41268876555872).

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

20996142496000 is an equidigital number, since it uses as much as digits as its factorization.

20996142496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 20996142496000 in words is "twenty trillion, nine hundred ninety-six billion, one hundred forty-two million, four hundred ninety-six thousand".