20013238560 has 288 divisors, whose sum is σ = 73525983552. Its totient is φ = 4562503680.

The previous prime is 20013238501. The next prime is 20013238603. The reversal of 20013238560 is 6583231002.

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

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, 11547454 + ... + 11549186.

It is an arithmetic number, because the mean of its divisors is an integer number (255298554).

Almost surely, 2^20013238560 is an apocalyptic number.

20013238560 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 20013238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36762991776).

20013238560 is an abundant number, since it is smaller than the sum of its proper divisors (53512744992).

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

20013238560 is a wasteful number, since it uses less digits than its factorization.

20013238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 20013238560 its reverse (6583231002), we get a palindrome (26596469562).

The spelling of 20013238560 in words is "twenty billion, thirteen million, two hundred thirty-eight thousand, five hundred sixty".