20646192809088 has 3072 divisors, whose sum is σ = 84311094067200. Its totient is φ = 4872230092800.

The previous prime is 20646192809041. The next prime is 20646192809089. The reversal of 20646192809088 is 88090829164602.

20646192809088 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 619 + 2 + 8 + 0 + 9 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20646192809089) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 92583824145 + ... + 92583824367.

It is an arithmetic number, because the mean of its divisors is an integer number (27445017600).

Almost surely, 2^{20646192809088} is an apocalyptic number.

20646192809088 is a gapful number since it is divisible by the number (28) 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 20646192809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42155547033600).

20646192809088 is an abundant number, since it is smaller than the sum of its proper divisors (63664901258112).

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

20646192809088 is a wasteful number, since it uses less digits than its factorization.

20646192809088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 20646192809088 in words is "twenty trillion, six hundred forty-six billion, one hundred ninety-two million, eight hundred nine thousand, eighty-eight".