21738459475200 has 432 divisors, whose sum is σ = 77438832416960. Its totient is φ = 5338620887040.

The previous prime is 21738459475199. The next prime is 21738459475267. The reversal of 21738459475200 is 257495483712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107976231 + ... + 108177369.

Almost surely, 2^{21738459475200} is an apocalyptic number.

21738459475200 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 21738459475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38719416208480).

21738459475200 is an abundant number, since it is smaller than the sum of its proper divisors (55700372941760).

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

21738459475200 is a wasteful number, since it uses less digits than its factorization.

21738459475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201614 (or 201595 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 21738459475200 in words is "twenty-one trillion, seven hundred thirty-eight billion, four hundred fifty-nine million, four hundred seventy-five thousand, two hundred".