20329456896 has 288 divisors, whose sum is σ = 69492729600. Its totient is φ = 5741936640.

The previous prime is 20329456891. The next prime is 20329456937. The reversal of 20329456896 is 69865492302.

It is a happy number.

20329456896 is a `hidden beast` number, since 203 + 294 + 5 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329456891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4303816 + ... + 4308536.

It is an arithmetic number, because the mean of its divisors is an integer number (241294200).

Almost surely, 2^20329456896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20329456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34746364800).

20329456896 is an abundant number, since it is smaller than the sum of its proper divisors (49163272704).

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

20329456896 is an equidigital number, since it uses as much as digits as its factorization.

20329456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 20329456896 in words is "twenty billion, three hundred twenty-nine million, four hundred fifty-six thousand, eight hundred ninety-six".