20818135296 has 360 divisors, whose sum is σ = 72416467200. Its totient is φ = 5946006528.

The previous prime is 20818135243. The next prime is 20818135333. The reversal of 20818135296 is 69253181802.

20818135296 is a `hidden beast` number, since 208 + 1 + 8 + 1 + 352 + 96 = 666.

It is a super-2 number, since 2×20818135296² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7110985 + ... + 7113911.

Almost surely, 2^20818135296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20818135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36208233600).

20818135296 is an abundant number, since it is smaller than the sum of its proper divisors (51598331904).

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

20818135296 is an frugal number, since it uses more digits than its factorization.

20818135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20818135296 in words is "twenty billion, eight hundred eighteen million, one hundred thirty-five thousand, two hundred ninety-six".