20288738961216 has 168 divisors, whose sum is σ = 63443083826304. Its totient is φ = 6147875082240.

The previous prime is 20288738961089. The next prime is 20288738961229. The reversal of 20288738961216 is 61216983788202.

20288738961216 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 8 + 7 + 3 + 8 + 9 + 612 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263646841 + ... + 263723783.

It is an arithmetic number, because the mean of its divisors is an integer number (377637403728).

Almost surely, 2^{20288738961216} is an apocalyptic number.

It is an amenable number.

20288738961216 is an abundant number, since it is smaller than the sum of its proper divisors (43154344865088).

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

20288738961216 is a wasteful number, since it uses less digits than its factorization.

20288738961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118589 (or 118576 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 20288738961216 in words is "twenty trillion, two hundred eighty-eight billion, seven hundred thirty-eight million, nine hundred sixty-one thousand, two hundred sixteen".