21106674892800 has 2052 divisors, whose sum is σ = 90084607143960. Its totient is φ = 4708777328640.

The previous prime is 21106674892783. The next prime is 21106674892801. The reversal of 21106674892800 is 829847660112.

It is a happy number.

21106674892800 is a `hidden beast` number, since 21 + 1 + 0 + 6 + 67 + 489 + 2 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21106674892801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 193639219146 + ... + 193639219254.

Almost surely, 2^{21106674892800} is an apocalyptic number.

21106674892800 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 21106674892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45042303571980).

21106674892800 is an abundant number, since it is smaller than the sum of its proper divisors (68977932251160).

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

21106674892800 is an equidigital number, since it uses as much as digits as its factorization.

21106674892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 21106674892800 in words is "twenty-one trillion, one hundred six billion, six hundred seventy-four million, eight hundred ninety-two thousand, eight hundred".