20788347211776 has 117 divisors (see below), whose sum is σ = 60050423076631. Its totient is φ = 6929157267456.

The previous prime is 20788347211763. The next prime is 20788347211777. The reversal of 20788347211776 is 67711274388702.

The square root of 20788347211776 is 4559424.

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

20788347211776 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 8 + 347 + 211 + 7 + 76 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20788347211777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 875397535 + ... + 875421281.

Almost surely, 2^{20788347211776} is an apocalyptic number.

20788347211776 is the 4559424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20788347211776

20788347211776 is an abundant number, since it is smaller than the sum of its proper divisors (39262075864855).

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

20788347211776 is an frugal number, since it uses more digits than its factorization.

20788347211776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47524 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 20788347211776 in words is "twenty trillion, seven hundred eighty-eight billion, three hundred forty-seven million, two hundred eleven thousand, seven hundred seventy-six".