20288682455616 has 189 divisors, whose sum is σ = 59174812069113. Its totient is φ = 6646178833920.

The previous prime is 20288682455599. The next prime is 20288682455633. The reversal of 20288682455616 is 61655428688202.

It is a happy number.

The square root of 20288682455616 is 4504296.

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

20288682455616 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 8 + 6 + 8 + 2 + 4 + 5 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (20288682455599) and next prime (20288682455633).

It can be written as a sum of positive squares in only one way, i.e., 1514140094016 + 18774542361600 = 1230504^2 + 4332960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6378081546 + ... + 6378084726.

Almost surely, 2^{20288682455616} is an apocalyptic number.

20288682455616 is the 4504296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20288682455616

20288682455616 is an abundant number, since it is smaller than the sum of its proper divisors (38886129613497).

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

20288682455616 is an frugal number, since it uses more digits than its factorization.

20288682455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 20288682455616 in words is "twenty trillion, two hundred eighty-eight billion, six hundred eighty-two million, four hundred fifty-five thousand, six hundred sixteen".