21738055016900 has 36 divisors (see below), whose sum is σ = 47173943130132. Its totient is φ = 8694786293760.

The previous prime is 21738055016849. The next prime is 21738055016947. The reversal of 21738055016900 is 961055083712.

It can be written as a sum of positive squares in 6 ways, for example, as 61655869636 + 21676399147264 = 248306^2 + 4655792^2 .

It is a super-2 number, since 2×21738055016900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3437117 + ... + 7435716.

Almost surely, 2^{21738055016900} is an apocalyptic number.

21738055016900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21738055016900 is an abundant number, since it is smaller than the sum of its proper divisors (25435888113232).

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

21738055016900 is a wasteful number, since it uses less digits than its factorization.

21738055016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10892840 (or 10892833 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 21738055016900 in words is "twenty-one trillion, seven hundred thirty-eight billion, fifty-five million, sixteen thousand, nine hundred".