281593008020 has 144 divisors (see below), whose sum is σ = 623595118608. Its totient is φ = 106778880000.

The previous prime is 281593008001. The next prime is 281593008061. The reversal of 281593008020 is 20800395182.

It can be written as a sum of positive squares in 8 ways, for example, as 83259948304 + 198333059716 = 288548^2 + 445346^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 540485360 + ... + 540485880.

It is an arithmetic number, because the mean of its divisors is an integer number (4330521657).

Almost surely, 2^281593008020 is an apocalyptic number.

281593008020 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 281593008020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311797559304).

281593008020 is an abundant number, since it is smaller than the sum of its proper divisors (342002110588).

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

281593008020 is a wasteful number, since it uses less digits than its factorization.

281593008020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 281593008020 in words is "two hundred eighty-one billion, five hundred ninety-three million, eight thousand, twenty".