10281872160 has 384 divisors, whose sum is σ = 42918543360. Its totient is φ = 2247810048.

The previous prime is 10281872149. The next prime is 10281872189. The reversal of 10281872160 is 6127818201.

It is a super-2 number, since 2×10281872160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688129 + ... + 702911.

It is an arithmetic number, because the mean of its divisors is an integer number (111767040).

Almost surely, 2^10281872160 is an apocalyptic number.

10281872160 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 10281872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459271680).

10281872160 is an abundant number, since it is smaller than the sum of its proper divisors (32636671200).

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

10281872160 is a wasteful number, since it uses less digits than its factorization.

10281872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10281872160 in words is "ten billion, two hundred eighty-one million, eight hundred seventy-two thousand, one hundred sixty".