20082264792976 has 135 divisors (see below), whose sum is σ = 40105572928659. Its totient is φ = 9741609662976.

The previous prime is 20082264792893. The next prime is 20082264793037. The reversal of 20082264792976 is 67929746228002.

The square root of 20082264792976 is 4481324.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2601704480400 + 17480560312576 = 1612980^2 + 4180976^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134780300550 + ... + 134780300698.

Almost surely, 2^{20082264792976} is an apocalyptic number.

20082264792976 is the 4481324-th square number.

It is an amenable number.

20082264792976 is a deficient number, since it is larger than the sum of its proper divisors (20023308135683).

20082264792976 is an frugal number, since it uses more digits than its factorization.

20082264792976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 20082264792976 in words is "twenty trillion, eighty-two billion, two hundred sixty-four million, seven hundred ninety-two thousand, nine hundred seventy-six".