20829950064 has 160 divisors (see below), whose sum is σ = 74543086080. Its totient is φ = 5410368000.

The previous prime is 20829950027. The next prime is 20829950081. The reversal of 20829950064 is 46005992802.

20829950064 is a `hidden beast` number, since 2 + 0 + 82 + 9 + 9 + 500 + 64 = 666.

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 31 ways as a sum of consecutive naturals, for example, 279837 + ... + 346364.

It is an arithmetic number, because the mean of its divisors is an integer number (465894288).

Almost surely, 2^20829950064 is an apocalyptic number.

20829950064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20829950064 is an abundant number, since it is smaller than the sum of its proper divisors (53713136016).

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

20829950064 is a wasteful number, since it uses less digits than its factorization.

20829950064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626236 (or 626224 counting only the distinct ones).

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

The spelling of 20829950064 in words is "twenty billion, eight hundred twenty-nine million, nine hundred fifty thousand, sixty-four".