20784952188 has 480 divisors, whose sum is σ = 76817072640. Its totient is φ = 4719720960.

The previous prime is 20784952171. The next prime is 20784952193. The reversal of 20784952188 is 88125948702.

20784952188 is a `hidden beast` number, since 2 + 0 + 78 + 49 + 521 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6160470 + ... + 6163842.

It is an arithmetic number, because the mean of its divisors is an integer number (160035568).

Almost surely, 2^20784952188 is an apocalyptic number.

20784952188 is a gapful number since it is divisible by the number (28) 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 20784952188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38408536320).

20784952188 is an abundant number, since it is smaller than the sum of its proper divisors (56032120452).

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

20784952188 is a wasteful number, since it uses less digits than its factorization.

20784952188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 20784952188 in words is "twenty billion, seven hundred eighty-four million, nine hundred fifty-two thousand, one hundred eighty-eight".