20814796800 has 864 divisors, whose sum is σ = 88719321600. Its totient is φ = 4737761280.

The previous prime is 20814796789. The next prime is 20814796817. The reversal of 20814796800 is 869741802.

20814796800 is a `hidden beast` number, since 20 + 81 + 479 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87091081 + ... + 87091319.

It is an arithmetic number, because the mean of its divisors is an integer number (102684400).

Almost surely, 2^20814796800 is an apocalyptic number.

20814796800 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 20814796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44359660800).

20814796800 is an abundant number, since it is smaller than the sum of its proper divisors (67904524800).

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

20814796800 is an equidigital number, since it uses as much as digits as its factorization.

20814796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20814796800 in words is "twenty billion, eight hundred fourteen million, seven hundred ninety-six thousand, eight hundred".