20682169560 has 1024 divisors, whose sum is σ = 83994624000. Its totient is φ = 4478976000.

The previous prime is 20682169483. The next prime is 20682169577. The reversal of 20682169560 is 6596128602.

20682169560 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 21 + 69 + 560 = 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 255 ways as a sum of consecutive naturals, for example, 339051930 + ... + 339051990.

It is an arithmetic number, because the mean of its divisors is an integer number (82026000).

Almost surely, 2^20682169560 is an apocalyptic number.

20682169560 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 20682169560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312000).

20682169560 is an abundant number, since it is smaller than the sum of its proper divisors (63312454440).

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

20682169560 is a wasteful number, since it uses less digits than its factorization.

20682169560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20682169560 in words is "twenty billion, six hundred eighty-two million, one hundred sixty-nine thousand, five hundred sixty".