20513257200 has 180 divisors, whose sum is σ = 71255074800. Its totient is φ = 5464949760.

The previous prime is 20513257159. The next prime is 20513257229. The reversal of 20513257200 is 275231502.

20513257200 is a `hidden beast` number, since 205 + 1 + 3 + 257 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5034364 + ... + 5038436.

Almost surely, 2^20513257200 is an apocalyptic number.

20513257200 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 20513257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35627537400).

20513257200 is an abundant number, since it is smaller than the sum of its proper divisors (50741817600).

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

20513257200 is a wasteful number, since it uses less digits than its factorization.

20513257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 20513257200 its reverse (275231502), we get a palindrome (20788488702).

The spelling of 20513257200 in words is "twenty billion, five hundred thirteen million, two hundred fifty-seven thousand, two hundred".