20482779018240 has 4928 divisors, whose sum is σ = 100623702343680. Its totient is φ = 3902083891200.

The previous prime is 20482779018239. The next prime is 20482779018241. The reversal of 20482779018240 is 4281097728402.

20482779018240 is a `hidden beast` number, since 2 + 0 + 48 + 277 + 90 + 1 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (20482779018239) and next prime (20482779018241).

It is a tau number, because it is divible by the number of its divisors (4928).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20482779018241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 660734807025 + ... + 660734807055.

Almost surely, 2^{20482779018240} is an apocalyptic number.

20482779018240 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 20482779018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50311851171840).

20482779018240 is an abundant number, since it is smaller than the sum of its proper divisors (80140923325440).

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

20482779018240 is an equidigital number, since it uses as much as digits as its factorization.

20482779018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 20482779018240 in words is "twenty trillion, four hundred eighty-two billion, seven hundred seventy-nine million, eighteen thousand, two hundred forty".