2016432213120 has 1024 divisors, whose sum is σ = 8040622464000. Its totient is φ = 474147717120.

The previous prime is 2016432213097. The next prime is 2016432213137. The reversal of 2016432213120 is 213122346102.

2016432213120 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 432 + 213 + 12 + 0 = 666.

It is a super-3 number, since 3×2016432213120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 631910725 + ... + 631913915.

It is an arithmetic number, because the mean of its divisors is an integer number (7852170375).

Almost surely, 2^{2016432213120} is an apocalyptic number.

2016432213120 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 2016432213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020311232000).

2016432213120 is an abundant number, since it is smaller than the sum of its proper divisors (6024190250880).

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

2016432213120 is a wasteful number, since it uses less digits than its factorization.

2016432213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2016432213120 its reverse (213122346102), we get a palindrome (2229554559222).

The spelling of 2016432213120 in words is "two trillion, sixteen billion, four hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".