10281585520 has 80 divisors (see below), whose sum is σ = 25748173440. Its totient is φ = 3805546752.

The previous prime is 10281585497. The next prime is 10281585527. The reversal of 10281585520 is 2558518201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10281585520² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10281585520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10281585527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13294 + ... + 144013.

It is an arithmetic number, because the mean of its divisors is an integer number (321852168).

Almost surely, 2^10281585520 is an apocalyptic number.

10281585520 is a gapful number since it is divisible by the number (10) 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 10281585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874086720).

10281585520 is an abundant number, since it is smaller than the sum of its proper divisors (15466587920).

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

10281585520 is a wasteful number, since it uses less digits than its factorization.

10281585520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157382 (or 157376 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 37.

The spelling of 10281585520 in words is "ten billion, two hundred eighty-one million, five hundred eighty-five thousand, five hundred twenty".