21639334610016 has 288 divisors, whose sum is σ = 66012458803200. Its totient is φ = 6965820426240.

The previous prime is 21639334609979. The next prime is 21639334610021. The reversal of 21639334610016 is 61001643393612.

It is a happy number.

21639334610016 is a `hidden beast` number, since 2 + 1 + 639 + 3 + 3 + 4 + 6 + 1 + 0 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115372120 + ... + 115559528.

It is an arithmetic number, because the mean of its divisors is an integer number (229209926400).

Almost surely, 2^{21639334610016} 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 21639334610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33006229401600).

21639334610016 is an abundant number, since it is smaller than the sum of its proper divisors (44373124193184).

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

21639334610016 is a wasteful number, since it uses less digits than its factorization.

21639334610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187944 (or 187924 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 21639334610016 in words is "twenty-one trillion, six hundred thirty-nine billion, three hundred thirty-four million, six hundred ten thousand, sixteen".