20166135128832 has 432 divisors, whose sum is σ = 67642118948096. Its totient is φ = 5220843724800.

The previous prime is 20166135128813. The next prime is 20166135128833. The reversal of 20166135128832 is 23882153166102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20166135128833) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 199651782 + ... + 199752762.

Almost surely, 2^{20166135128832} is an apocalyptic number.

20166135128832 is a gapful number since it is divisible by the number (22) 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 20166135128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33821059474048).

20166135128832 is an abundant number, since it is smaller than the sum of its proper divisors (47475983819264).

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

20166135128832 is a wasteful number, since it uses less digits than its factorization.

20166135128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101336 (or 101311 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 20166135128832 in words is "twenty trillion, one hundred sixty-six billion, one hundred thirty-five million, one hundred twenty-eight thousand, eight hundred thirty-two".