20613238560 has 192 divisors, whose sum is σ = 72365529600. Its totient is φ = 5480165376.

The previous prime is 20613238553. The next prime is 20613238561. The reversal of 20613238560 is 6583231602.

It is a happy number.

20613238560 is a `hidden beast` number, since 2 + 0 + 61 + 3 + 2 + 38 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20613238561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448761 + ... + 1462919.

It is an arithmetic number, because the mean of its divisors is an integer number (376903800).

Almost surely, 2^20613238560 is an apocalyptic number.

20613238560 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 20613238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36182764800).

20613238560 is an abundant number, since it is smaller than the sum of its proper divisors (51752291040).

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

20613238560 is a wasteful number, since it uses less digits than its factorization.

20613238560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520 (or 14506 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20613238560 in words is "twenty billion, six hundred thirteen million, two hundred thirty-eight thousand, five hundred sixty".