20641420800 has 1440 divisors, whose sum is σ = 99736116480. Its totient is φ = 3937075200.

The previous prime is 20641420733. The next prime is 20641420823. The reversal of 20641420800 is 802414602.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 115315111 + ... + 115315289.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 2^20641420800 is an apocalyptic number.

20641420800 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 20641420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49868058240).

20641420800 is an abundant number, since it is smaller than the sum of its proper divisors (79094695680).

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

20641420800 is a wasteful number, since it uses less digits than its factorization.

20641420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20641420800 in words is "twenty billion, six hundred forty-one million, four hundred twenty thousand, eight hundred".