20800467848160 has 3456 divisors, whose sum is σ = 101590764807168. Its totient is φ = 3983377305600.

The previous prime is 20800467848101. The next prime is 20800467848197. The reversal of 20800467848160 is 6184876400802.

20800467848160 is a `hidden beast` number, since 2 + 0 + 80 + 0 + 467 + 8 + 48 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20800467848097 and 20800467848106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32964291045 + ... + 32964291675.

It is an arithmetic number, because the mean of its divisors is an integer number (29395475928).

Almost surely, 2^{20800467848160} is an apocalyptic number.

20800467848160 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 20800467848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50795382403584).

20800467848160 is an abundant number, since it is smaller than the sum of its proper divisors (80790296959008).

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

20800467848160 is a wasteful number, since it uses less digits than its factorization.

20800467848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 20800467848160 in words is "twenty trillion, eight hundred billion, four hundred sixty-seven million, eight hundred forty-eight thousand, one hundred sixty".