21275983622208 has 672 divisors, whose sum is σ = 67843143561600. Its totient is φ = 5862933135360.

The previous prime is 21275983622161. The next prime is 21275983622287. The reversal of 21275983622208 is 80222638957212.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 30790135143 + ... + 30790135833.

Almost surely, 2^{21275983622208} is an apocalyptic number.

21275983622208 is a gapful number since it is divisible by the number (28) 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 21275983622208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33921571780800).

21275983622208 is an abundant number, since it is smaller than the sum of its proper divisors (46567159939392).

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

21275983622208 is a wasteful number, since it uses less digits than its factorization.

21275983622208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 21275983622208 in words is "twenty-one trillion, two hundred seventy-five billion, nine hundred eighty-three million, six hundred twenty-two thousand, two hundred eight".