10954784960 has 252 divisors, whose sum is σ = 31398612336. Its totient is φ = 3629767680.

The previous prime is 10954784959. The next prime is 10954784999. The reversal of 10954784960 is 6948745901.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15068117 + ... + 15068843.

It is an arithmetic number, because the mean of its divisors is an integer number (124597668).

Almost surely, 2^10954784960 is an apocalyptic number.

10954784960 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 10954784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699306168).

10954784960 is an abundant number, since it is smaller than the sum of its proper divisors (20443827376).

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

10954784960 is an equidigital number, since it uses as much as digits as its factorization.

10954784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 10954784960 in words is "ten billion, nine hundred fifty-four million, seven hundred eighty-four thousand, nine hundred sixty".