20765319382404 has 243 divisors, whose sum is σ = 57025692524983. Its totient is φ = 6615412874928.

The previous prime is 20765319382349. The next prime is 20765319382411. The reversal of 20765319382404 is 40428391356702.

The square root of 20765319382404 is 4556898.

It is a perfect power (a square), and thus also a powerful number.

20765319382404 is a `hidden beast` number, since 2 + 0 + 76 + 5 + 3 + 1 + 93 + 82 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16979001337 + ... + 16979002559.

It is a 1-persistent number, because it is pandigital, but 2⋅20765319382404 = 41530638764808 is not.

Almost surely, 2^{20765319382404} is an apocalyptic number.

20765319382404 is the 4556898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20765319382404

20765319382404 is an abundant number, since it is smaller than the sum of its proper divisors (36260373142579).

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

20765319382404 is an frugal number, since it uses more digits than its factorization.

20765319382404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 20765319382404 in words is "twenty trillion, seven hundred sixty-five billion, three hundred nineteen million, three hundred eighty-two thousand, four hundred four".