10281397920 has 192 divisors, whose sum is σ = 33139290240. Its totient is φ = 2678427648.

The previous prime is 10281397913. The next prime is 10281397939. The reversal of 10281397920 is 2979318201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7046151 + ... + 7047609.

It is an arithmetic number, because the mean of its divisors is an integer number (172600470).

Almost surely, 2^10281397920 is an apocalyptic number.

10281397920 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 10281397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569645120).

10281397920 is an abundant number, since it is smaller than the sum of its proper divisors (22857892320).

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

10281397920 is a wasteful number, since it uses less digits than its factorization.

10281397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 10281397920 in words is "ten billion, two hundred eighty-one million, three hundred ninety-seven thousand, nine hundred twenty".