20365642200 has 384 divisors, whose sum is σ = 67547105280. Its totient is φ = 5067878400.

The previous prime is 20365642159. The next prime is 20365642211. The reversal of 20365642200 is 224656302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71963259 + ... + 71963541.

It is an arithmetic number, because the mean of its divisors is an integer number (175903920).

Almost surely, 2^20365642200 is an apocalyptic number.

20365642200 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 20365642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33773552640).

20365642200 is an abundant number, since it is smaller than the sum of its proper divisors (47181463080).

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

20365642200 is a wasteful number, since it uses less digits than its factorization.

20365642200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 20365642200 in words is "twenty billion, three hundred sixty-five million, six hundred forty-two thousand, two hundred".