20082678468480 has 384 divisors, whose sum is σ = 71953638513120. Its totient is φ = 5352611217408.

The previous prime is 20082678468467. The next prime is 20082678468487. The reversal of 20082678468480 is 8486487628002.

20082678468480 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 26 + 78 + 4 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20082678468487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309918964 + ... + 309983756.

Almost surely, 2^{20082678468480} is an apocalyptic number.

20082678468480 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 20082678468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35976819256560).

20082678468480 is an abundant number, since it is smaller than the sum of its proper divisors (51870960044640).

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

20082678468480 is an equidigital number, since it uses as much as digits as its factorization.

20082678468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66820 (or 66796 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 20082678468480 in words is "twenty trillion, eighty-two billion, six hundred seventy-eight million, four hundred sixty-eight thousand, four hundred eighty".