21336620760000 has 5040 divisors, whose sum is σ = 103719766550400. Its totient is φ = 4142057472000.

The previous prime is 21336620759977. The next prime is 21336620760029. The reversal of 21336620760000 is 6702663312.

21336620760000 is a `hidden beast` number, since 2 + 13 + 36 + 6 + 2 + 0 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 257067719959 + ... + 257067720041.

It is an arithmetic number, because the mean of its divisors is an integer number (20579318760).

Almost surely, 2^{21336620760000} is an apocalyptic number.

21336620760000 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 21336620760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51859883275200).

21336620760000 is an abundant number, since it is smaller than the sum of its proper divisors (82383145790400).

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

21336620760000 is a wasteful number, since it uses less digits than its factorization.

21336620760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 21336620760000 in words is "twenty-one trillion, three hundred thirty-six billion, six hundred twenty million, seven hundred sixty thousand".