21016586738304 has 192 divisors, whose sum is σ = 63626873080680. Its totient is φ = 6649941196800.

The previous prime is 21016586738297. The next prime is 21016586738333. The reversal of 21016586738304 is 40383768561012.

21016586738304 is a `hidden beast` number, since 2 + 10 + 16 + 586 + 7 + 3 + 8 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18524760321600 + 2491826416704 = 4304040^2 + 1578552^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4265457 + ... + 7760624.

Almost surely, 2^{21016586738304} is an apocalyptic number.

21016586738304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21016586738304 is an abundant number, since it is smaller than the sum of its proper divisors (42610286342376).

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

21016586738304 is a wasteful number, since it uses less digits than its factorization.

21016586738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026179 (or 12026164 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 21016586738304 in words is "twenty-one trillion, sixteen billion, five hundred eighty-six million, seven hundred thirty-eight thousand, three hundred four".