10281960000 has 525 divisors, whose sum is σ = 39896284571. Its totient is φ = 2530944000.

The previous prime is 10281959993. The next prime is 10281960001. The reversal of 10281960000 is 6918201.

The square root of 10281960000 is 101400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 12 ways, for example, as 2413560384 + 7868399616 = 49128^2 + 88704^2 .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (10281960001) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 790919994 + ... + 790920006.

Almost surely, 2^10281960000 is an apocalyptic number.

10281960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10281960000 is the 101400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10281960000

10281960000 is an abundant number, since it is smaller than the sum of its proper divisors (29614324571).

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

10281960000 is an frugal number, since it uses more digits than its factorization.

10281960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10281960000 in words is "ten billion, two hundred eighty-one million, nine hundred sixty thousand".