20005876800 has 1008 divisors, whose sum is σ = 91487061120. Its totient is φ = 4215214080.

The previous prime is 20005876789. The next prime is 20005876829. The reversal of 20005876800 is 867850002.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27518037 + ... + 27518763.

Almost surely, 2^20005876800 is an apocalyptic number.

20005876800 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 20005876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45743530560).

20005876800 is an abundant number, since it is smaller than the sum of its proper divisors (71481184320).

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

20005876800 is a wasteful number, since it uses less digits than its factorization.

20005876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20005876800 in words is "twenty billion, five million, eight hundred seventy-six thousand, eight hundred".