20535205200 has 120 divisors (see below), whose sum is σ = 66763176288. Its totient is φ = 5394301440.

The previous prime is 20535205189. The next prime is 20535205247. The reversal of 20535205200 is 250253502.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20535205200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47307 + ... + 208106.

Almost surely, 2^20535205200 is an apocalyptic number.

20535205200 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 20535205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33381588144).

20535205200 is an abundant number, since it is smaller than the sum of its proper divisors (46227971088).

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

20535205200 is a wasteful number, since it uses less digits than its factorization.

20535205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255501 (or 255490 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

Adding to 20535205200 its reverse (250253502), we get a palindrome (20785458702).

The spelling of 20535205200 in words is "twenty billion, five hundred thirty-five million, two hundred five thousand, two hundred".