20085964800 has 384 divisors, whose sum is σ = 72551963520. Its totient is φ = 4862771200.

The previous prime is 20085964777. The next prime is 20085964807. The reversal of 20085964800 is 846958002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085964807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27033229 + ... + 27033971.

It is an arithmetic number, because the mean of its divisors is an integer number (188937405).

Almost surely, 2^20085964800 is an apocalyptic number.

20085964800 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 20085964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36275981760).

20085964800 is an abundant number, since it is smaller than the sum of its proper divisors (52465998720).

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

20085964800 is an equidigital number, since it uses as much as digits as its factorization.

20085964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 20085964800 in words is "twenty billion, eighty-five million, nine hundred sixty-four thousand, eight hundred".