20638246880160 has 1728 divisors, whose sum is σ = 94451232605184. Its totient is φ = 4213820620800.

The previous prime is 20638246880093. The next prime is 20638246880189. The reversal of 20638246880160 is 6108864283602.

20638246880160 is a `hidden beast` number, since 20 + 6 + 3 + 82 + 468 + 80 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20638246880097 and 20638246880106.

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 287 ways as a sum of consecutive naturals, for example, 767749920 + ... + 767776800.

It is an arithmetic number, because the mean of its divisors is an integer number (54659278128).

Almost surely, 2^{20638246880160} is an apocalyptic number.

20638246880160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20638246880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47225616302592).

20638246880160 is an abundant number, since it is smaller than the sum of its proper divisors (73812985725024).

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

20638246880160 is a wasteful number, since it uses less digits than its factorization.

20638246880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26969 (or 26942 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20638246880160 in words is "twenty trillion, six hundred thirty-eight billion, two hundred forty-six million, eight hundred eighty thousand, one hundred sixty".