20668058611200 has 4320 divisors, whose sum is σ = 105859914031872. Its totient is φ = 3726508032000.

The previous prime is 20668058611199. The next prime is 20668058611229. The reversal of 20668058611200 is 211685086602.

20668058611200 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 8 + 0 + 5 + 8 + 611 + 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 an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 25484658795 + ... + 25484659605.

Almost surely, 2^{20668058611200} is an apocalyptic number.

20668058611200 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 20668058611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52929957015936).

20668058611200 is an abundant number, since it is smaller than the sum of its proper divisors (85191855420672).

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

20668058611200 is a wasteful number, since it uses less digits than its factorization.

20668058611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20668058611200 in words is "twenty trillion, six hundred sixty-eight billion, fifty-eight million, six hundred eleven thousand, two hundred".