20075990240280 has 512 divisors, whose sum is σ = 67055785251840. Its totient is φ = 4777188433920.

The previous prime is 20075990240279. The next prime is 20075990240281. The reversal of 20075990240280 is 8204209957002.

It is an interprime number because it is at equal distance from previous prime (20075990240279) and next prime (20075990240281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20075990240281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2634294870 + ... + 2634302490.

It is an arithmetic number, because the mean of its divisors is an integer number (130968330570).

Almost surely, 2^{20075990240280} is an apocalyptic number.

20075990240280 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 20075990240280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33527892625920).

20075990240280 is an abundant number, since it is smaller than the sum of its proper divisors (46979795011560).

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

20075990240280 is a wasteful number, since it uses less digits than its factorization.

20075990240280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 20075990240280 in words is "twenty trillion, seventy-five billion, nine hundred ninety million, two hundred forty thousand, two hundred eighty".