21006919422720 has 2592 divisors, whose sum is σ = 95038371792000. Its totient is φ = 4277548154880.

The previous prime is 21006919422691. The next prime is 21006919422761. The reversal of 21006919422720 is 2722491960012.

21006919422720 is a `hidden beast` number, since 210 + 0 + 6 + 9 + 1 + 9 + 422 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 25340071266 + ... + 25340072094.

It is an arithmetic number, because the mean of its divisors is an integer number (36666038500).

Almost surely, 2^{21006919422720} is an apocalyptic number.

21006919422720 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 21006919422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47519185896000).

21006919422720 is an abundant number, since it is smaller than the sum of its proper divisors (74031452369280).

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

21006919422720 is a wasteful number, since it uses less digits than its factorization.

21006919422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21006919422720 in words is "twenty-one trillion, six billion, nine hundred nineteen million, four hundred twenty-two thousand, seven hundred twenty".