20820682484784 has 1440 divisors, whose sum is σ = 78610778588160. Its totient is φ = 4995297423360.

The previous prime is 20820682484747. The next prime is 20820682484809. The reversal of 20820682484784 is 48748428602802.

20820682484784 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 0 + 6 + 82 + 484 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41393006677 + ... + 41393007179.

It is an arithmetic number, because the mean of its divisors is an integer number (54590818464).

Almost surely, 2^{20820682484784} is an apocalyptic number.

20820682484784 is a gapful number since it is divisible by the number (24) 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 20820682484784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39305389294080).

20820682484784 is an abundant number, since it is smaller than the sum of its proper divisors (57790096103376).

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

20820682484784 is a wasteful number, since it uses less digits than its factorization.

20820682484784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 63.

The spelling of 20820682484784 in words is "twenty trillion, eight hundred twenty billion, six hundred eighty-two million, four hundred eighty-four thousand, seven hundred eighty-four".