20646928512 has 1152 divisors, whose sum is σ = 81265766400. Its totient is φ = 5173217280.

The previous prime is 20646928507. The next prime is 20646928583. The reversal of 20646928512 is 21582964602.

20646928512 is a `hidden beast` number, since 2 + 0 + 6 + 46 + 92 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 666029937 + ... + 666029967.

It is an arithmetic number, because the mean of its divisors is an integer number (70543200).

Almost surely, 2^20646928512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20646928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40632883200).

20646928512 is an abundant number, since it is smaller than the sum of its proper divisors (60618837888).

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

20646928512 is a wasteful number, since it uses less digits than its factorization.

20646928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20646928512 in words is "twenty billion, six hundred forty-six million, nine hundred twenty-eight thousand, five hundred twelve".