20966462820 has 216 divisors, whose sum is σ = 68922270144. Its totient is φ = 5347197504.

The previous prime is 20966462807. The next prime is 20966462821. The reversal of 20966462820 is 2826466902.

20966462820 is a `hidden beast` number, since 20 + 96 + 6 + 462 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20966462821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3014587 + ... + 3021533.

It is an arithmetic number, because the mean of its divisors is an integer number (319084584).

Almost surely, 2^20966462820 is an apocalyptic number.

20966462820 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 20966462820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34461135072).

20966462820 is an abundant number, since it is smaller than the sum of its proper divisors (47955807324).

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

20966462820 is an equidigital number, since it uses as much as digits as its factorization.

20966462820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6980 counting only the distinct ones).

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

It can be divided in two parts, 209664 and 62820, that added together give a square (272484 = 522²).

The spelling of 20966462820 in words is "twenty billion, nine hundred sixty-six million, four hundred sixty-two thousand, eight hundred twenty".