20688172896960 has 336 divisors, whose sum is σ = 76579667060832. Its totient is φ = 5107204915200.

The previous prime is 20688172896931. The next prime is 20688172896991. The reversal of 20688172896960 is 6969827188602.

20688172896960 is a `hidden beast` number, since 206 + 8 + 81 + 7 + 289 + 6 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 476986 + ... + 6450105.

Almost surely, 2^{20688172896960} is an apocalyptic number.

20688172896960 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 20688172896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38289833530416).

20688172896960 is an abundant number, since it is smaller than the sum of its proper divisors (55891494163872).

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

20688172896960 is a wasteful number, since it uses less digits than its factorization.

20688172896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927192 (or 6927179 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 20688172896960 in words is "twenty trillion, six hundred eighty-eight billion, one hundred seventy-two million, eight hundred ninety-six thousand, nine hundred sixty".