10845394560 has 1920 divisors, whose sum is σ = 55153929600. Its totient is φ = 1970749440.

The previous prime is 10845394543. The next prime is 10845394591. The reversal of 10845394560 is 6549354801.

10845394560 is a `hidden beast` number, since 1 + 0 + 84 + 5 + 3 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 570810231 + ... + 570810249.

It is an arithmetic number, because the mean of its divisors is an integer number (28726005).

Almost surely, 2^10845394560 is an apocalyptic number.

10845394560 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 10845394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27576964800).

10845394560 is an abundant number, since it is smaller than the sum of its proper divisors (44308535040).

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

10845394560 is a wasteful number, since it uses less digits than its factorization.

10845394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10845394560 in words is "ten billion, eight hundred forty-five million, three hundred ninety-four thousand, five hundred sixty".