20079325152016 has 405 divisors, whose sum is σ = 46330595322039. Its totient is φ = 8424559263744.

The previous prime is 20079325152001. The next prime is 20079325152017. The reversal of 20079325152016 is 61025152397002.

It is a happy number.

The square root of 20079325152016 is 4480996.

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

It can be written as a sum of positive squares in 40 ways, for example, as 16315104326416 + 3764220825600 = 4039196^2 + 1940160^2 .

It is not an unprimeable number, because it can be changed into a prime (20079325152017) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 146564417100 + ... + 146564417236.

Almost surely, 2^{20079325152016} is an apocalyptic number.

20079325152016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20079325152016 is the 4480996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20079325152016

20079325152016 is an abundant number, since it is smaller than the sum of its proper divisors (26251270170023).

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

20079325152016 is a wasteful number, since it uses less digits than its factorization.

20079325152016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 20079325152016 in words is "twenty trillion, seventy-nine billion, three hundred twenty-five million, one hundred fifty-two thousand, sixteen".