21193406208000 has 2304 divisors, whose sum is σ = 87505870233600. Its totient is φ = 4890643660800.

The previous prime is 21193406207969. The next prime is 21193406208011. The reversal of 21193406208000 is 80260439112.

21193406208000 is a `hidden beast` number, since 21 + 1 + 9 + 3 + 4 + 0 + 620 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 95037695889 + ... + 95037696111.

It is an arithmetic number, because the mean of its divisors is an integer number (37979978400).

Almost surely, 2^{21193406208000} is an apocalyptic number.

21193406208000 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 21193406208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43752935116800).

21193406208000 is an abundant number, since it is smaller than the sum of its proper divisors (66312464025600).

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

21193406208000 is a wasteful number, since it uses less digits than its factorization.

21193406208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21193406208000 in words is "twenty-one trillion, one hundred ninety-three billion, four hundred six million, two hundred eight thousand".