21738934565430 has 192 divisors, whose sum is σ = 56844696767040. Its totient is φ = 5316417126400.

The previous prime is 21738934565423. The next prime is 21738934565431. The reversal of 21738934565430 is 3456543983712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21738934565431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291803626 + ... + 291878114.

It is an arithmetic number, because the mean of its divisors is an integer number (296066128995).

It is a 1-persistent number, because it is pandigital, but 2⋅21738934565430 = 43477869130860 is not.

Almost surely, 2^{21738934565430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21738934565430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422348383520).

21738934565430 is an abundant number, since it is smaller than the sum of its proper divisors (35105762201610).

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

21738934565430 is a wasteful number, since it uses less digits than its factorization.

21738934565430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75395 (or 75378 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 21738934565430 in words is "twenty-one trillion, seven hundred thirty-eight billion, nine hundred thirty-four million, five hundred sixty-five thousand, four hundred thirty".