20668527129600 has 3168 divisors, whose sum is σ = 92387478822912. Its totient is φ = 4478976000000.

The previous prime is 20668527129577. The next prime is 20668527129643. The reversal of 20668527129600 is 692172586602.

20668527129600 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 8 + 5 + 2 + 7 + 1 + 29 + 600 = 666.

It is a super-2 number, since 2×20668527129600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 82344729475 + ... + 82344729725.

Almost surely, 2^{20668527129600} is an apocalyptic number.

20668527129600 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 20668527129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193739411456).

20668527129600 is an abundant number, since it is smaller than the sum of its proper divisors (71718951693312).

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

20668527129600 is a wasteful number, since it uses less digits than its factorization.

20668527129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20668527129600 in words is "twenty trillion, six hundred sixty-eight billion, five hundred twenty-seven million, one hundred twenty-nine thousand, six hundred".