20801466766080 has 6480 divisors, whose sum is σ = 108672869622240. Its totient is φ = 3752306933760.

The previous prime is 20801466766033. The next prime is 20801466766103. The reversal of 20801466766080 is 8066766410802.

20801466766080 is a `hidden beast` number, since 20 + 8 + 0 + 1 + 4 + 6 + 6 + 7 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 719 ways as a sum of consecutive naturals, for example, 151835523772 + ... + 151835523908.

Almost surely, 2^{20801466766080} is an apocalyptic number.

20801466766080 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 20801466766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336434811120).

20801466766080 is an abundant number, since it is smaller than the sum of its proper divisors (87871402856160).

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

20801466766080 is a wasteful number, since it uses less digits than its factorization.

20801466766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20801466766080 in words is "twenty trillion, eight hundred one billion, four hundred sixty-six million, seven hundred sixty-six thousand, eighty".