21016796620032 has 288 divisors, whose sum is σ = 65433875404800. Its totient is φ = 6635621357568.

The previous prime is 21016796620007. The next prime is 21016796620037. The reversal of 21016796620032 is 23002669761012.

21016796620032 is a `hidden beast` number, since 2 + 1 + 0 + 16 + 7 + 9 + 6 + 620 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 21016796620032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21016796620037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888159433 + ... + 888183095.

Almost surely, 2^{21016796620032} 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 21016796620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32716937702400).

21016796620032 is an abundant number, since it is smaller than the sum of its proper divisors (44417078784768).

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

21016796620032 is a wasteful number, since it uses less digits than its factorization.

21016796620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30470 (or 30450 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 21016796620032 in words is "twenty-one trillion, sixteen billion, seven hundred ninety-six million, six hundred twenty thousand, thirty-two".