10851618960 has 960 divisors, whose sum is σ = 49396838400. Its totient is φ = 2069286912.

The previous prime is 10851618929. The next prime is 10851618961. The reversal of 10851618960 is 6981615801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10851618961) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 28632051 + ... + 28632429.

It is an arithmetic number, because the mean of its divisors is an integer number (51455040).

Almost surely, 2^10851618960 is an apocalyptic number.

10851618960 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 10851618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698419200).

10851618960 is an abundant number, since it is smaller than the sum of its proper divisors (38545219440).

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

10851618960 is a wasteful number, since it uses less digits than its factorization.

10851618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10851618960 in words is "ten billion, eight hundred fifty-one million, six hundred eighteen thousand, nine hundred sixty".