20966108083200 has 3168 divisors, whose sum is σ = 97411470028800. Its totient is φ = 4389396480000.

The previous prime is 20966108083187. The next prime is 20966108083201. The reversal of 20966108083200 is 238080166902.

20966108083200 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 610 + 8 + 0 + 8 + 3 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20966108083201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19948722675 + ... + 19948723725.

Almost surely, 2^{20966108083200} is an apocalyptic number.

20966108083200 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 20966108083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48705735014400).

20966108083200 is an abundant number, since it is smaller than the sum of its proper divisors (76445361945600).

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

20966108083200 is a wasteful number, since it uses less digits than its factorization.

20966108083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20966108083200 in words is "twenty trillion, nine hundred sixty-six billion, one hundred eight million, eighty-three thousand, two hundred".