21935734273600 has 567 divisors, whose sum is σ = 64447779021507. Its totient is φ = 7327036200960.

The previous prime is 21935734273597. The next prime is 21935734273631. The reversal of 21935734273600 is 637243753912.

The square root of 21935734273600 is 4683560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3646358287936 + 18289375985664 = 1909544^2 + 4276608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56390062206 + ... + 56390062594.

Almost surely, 2^{21935734273600} is an apocalyptic number.

21935734273600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21935734273600 is the 4683560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21935734273600

21935734273600 is an abundant number, since it is smaller than the sum of its proper divisors (42512044747907).

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

21935734273600 is an frugal number, since it uses more digits than its factorization.

21935734273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 21935734273600 in words is "twenty-one trillion, nine hundred thirty-five billion, seven hundred thirty-four million, two hundred seventy-three thousand, six hundred".