20618960818176 has 1248 divisors, whose sum is σ = 77404147937280. Its totient is φ = 5302201614336.

The previous prime is 20618960818123. The next prime is 20618960818217. The reversal of 20618960818176 is 67181806981602.

20618960818176 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 8 + 9 + 608 + 1 + 8 + 17 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5145733165 + ... + 5145737171.

Almost surely, 2^{20618960818176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20618960818176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38702073968640).

20618960818176 is an abundant number, since it is smaller than the sum of its proper divisors (56785187119104).

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

20618960818176 is a wasteful number, since it uses less digits than its factorization.

20618960818176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 20618960818176 in words is "twenty trillion, six hundred eighteen billion, nine hundred sixty million, eight hundred eighteen thousand, one hundred seventy-six".