10918585884640 has 288 divisors, whose sum is σ = 31782119874624. Its totient is φ = 3522153922560.

The previous prime is 10918585884571. The next prime is 10918585884659. The reversal of 10918585884640 is 4648858581901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467934414 + ... + 467957746.

It is an arithmetic number, because the mean of its divisors is an integer number (110354582898).

Almost surely, 2^{10918585884640} is an apocalyptic number.

10918585884640 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 10918585884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891059937312).

10918585884640 is an abundant number, since it is smaller than the sum of its proper divisors (20863533989984).

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

10918585884640 is a wasteful number, since it uses less digits than its factorization.

10918585884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26890 (or 26875 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 67.

The spelling of 10918585884640 in words is "ten trillion, nine hundred eighteen billion, five hundred eighty-five million, eight hundred eighty-four thousand, six hundred forty".