10955244960 has 576 divisors, whose sum is σ = 43518384000. Its totient is φ = 2481684480.

The previous prime is 10955244947. The next prime is 10955244967. The reversal of 10955244960 is 6944255901.

10955244960 is a `hidden beast` number, since 1 + 0 + 9 + 552 + 4 + 4 + 96 + 0 = 666.

10955244960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10955244967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26785236 + ... + 26785644.

It is an arithmetic number, because the mean of its divisors is an integer number (75552750).

Almost surely, 2^10955244960 is an apocalyptic number.

10955244960 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 10955244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759192000).

10955244960 is an abundant number, since it is smaller than the sum of its proper divisors (32563139040).

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

10955244960 is a wasteful number, since it uses less digits than its factorization.

10955244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10955244960 in words is "ten billion, nine hundred fifty-five million, two hundred forty-four thousand, nine hundred sixty".