21713754629700 has 864 divisors, whose sum is σ = 84470056070400. Its totient is φ = 4551966720000.

The previous prime is 21713754629663. The next prime is 21713754629747. The reversal of 21713754629700 is 792645731712.

21713754629700 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 3 + 7 + 5 + 4 + 629 + 7 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2067774450 + ... + 2067784950.

It is an arithmetic number, because the mean of its divisors is an integer number (97766268600).

Almost surely, 2^{21713754629700} is an apocalyptic number.

21713754629700 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 21713754629700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42235028035200).

21713754629700 is an abundant number, since it is smaller than the sum of its proper divisors (62756301440700).

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

21713754629700 is a wasteful number, since it uses less digits than its factorization.

21713754629700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11037 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 21713754629700 in words is "twenty-one trillion, seven hundred thirteen billion, seven hundred fifty-four million, six hundred twenty-nine thousand, seven hundred".