20005165200 has 240 divisors, whose sum is σ = 65898768320. Its totient is φ = 5184829440.

The previous prime is 20005165199. The next prime is 20005165247. The reversal of 20005165200 is 256150002.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 11815554 + ... + 11817246.

Almost surely, 2^20005165200 is an apocalyptic number.

20005165200 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 20005165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32949384160).

20005165200 is an abundant number, since it is smaller than the sum of its proper divisors (45893603120).

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

20005165200 is a wasteful number, since it uses less digits than its factorization.

20005165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 20005165200 in words is "twenty billion, five million, one hundred sixty-five thousand, two hundred".