20282066496 has 224 divisors, whose sum is σ = 63128956800. Its totient is φ = 6367610880.

The previous prime is 20282066419. The next prime is 20282066503. The reversal of 20282066496 is 69466028202.

20282066496 is a `hidden beast` number, since 20 + 2 + 82 + 0 + 66 + 496 = 666.

It is a super-2 number, since 2×20282066496² (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 31 ways as a sum of consecutive naturals, for example, 5940886 + ... + 5944298.

It is an arithmetic number, because the mean of its divisors is an integer number (281825700).

Almost surely, 2^20282066496 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 20282066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31564478400).

20282066496 is an abundant number, since it is smaller than the sum of its proper divisors (42846890304).

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

20282066496 is a wasteful number, since it uses less digits than its factorization.

20282066496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20282066496 in words is "twenty billion, two hundred eighty-two million, sixty-six thousand, four hundred ninety-six".