20524255200 has 576 divisors, whose sum is σ = 77669403840. Its totient is φ = 5225472000.

The previous prime is 20524255187. The next prime is 20524255211. The reversal of 20524255200 is 255242502.

20524255200 is a `hidden beast` number, since 20 + 52 + 42 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 48750990 + ... + 48751410.

It is an arithmetic number, because the mean of its divisors is an integer number (134842715).

Almost surely, 2^20524255200 is an apocalyptic number.

20524255200 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 20524255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38834701920).

20524255200 is an abundant number, since it is smaller than the sum of its proper divisors (57145148640).

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

20524255200 is a wasteful number, since it uses less digits than its factorization.

20524255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 20524255200 its reverse (255242502), we get a palindrome (20779497702).

The spelling of 20524255200 in words is "twenty billion, five hundred twenty-four million, two hundred fifty-five thousand, two hundred".