20669697884160 has 1092 divisors, whose sum is σ = 80538286010382. Its totient is φ = 5087925633024.

The previous prime is 20669697884141. The next prime is 20669697884233. The reversal of 20669697884160 is 6148879696602.

20669697884160 is a `hidden beast` number, since 20 + 6 + 69 + 69 + 78 + 8 + 416 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8916100448256 + 11753597435904 = 2985984^2 + 3428352^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1589976760314 + ... + 1589976760326.

Almost surely, 2^{20669697884160} is an apocalyptic number.

20669697884160 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 20669697884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40269143005191).

20669697884160 is an abundant number, since it is smaller than the sum of its proper divisors (59868588126222).

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

20669697884160 is an frugal number, since it uses more digits than its factorization.

20669697884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 20669697884160 in words is "twenty trillion, six hundred sixty-nine billion, six hundred ninety-seven million, eight hundred eighty-four thousand, one hundred sixty".