20665478767104 has 480 divisors, whose sum is σ = 63277216516800. Its totient is φ = 6474568826880.

The previous prime is 20665478767057. The next prime is 20665478767121. The reversal of 20665478767104 is 40176787456602.

20665478767104 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 547 + 8 + 76 + 7 + 10 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 6521134032 + ... + 6521137200.

It is an arithmetic number, because the mean of its divisors is an integer number (131827534410).

Almost surely, 2^{20665478767104} is an apocalyptic number.

20665478767104 is a gapful number since it is divisible by the number (24) 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 20665478767104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31638608258400).

20665478767104 is an abundant number, since it is smaller than the sum of its proper divisors (42611737749696).

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

20665478767104 is a wasteful number, since it uses less digits than its factorization.

20665478767104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 20665478767104 in words is "twenty trillion, six hundred sixty-five billion, four hundred seventy-eight million, seven hundred sixty-seven thousand, one hundred four".