10955481600 has 480 divisors, whose sum is σ = 42196049280. Its totient is φ = 2453667840.

The previous prime is 10955481569. The next prime is 10955481671. The reversal of 10955481600 is 618455901.

It is a tau number, because it is divible by the number of its divisors (480).

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, 14246016 + ... + 14246784.

It is an arithmetic number, because the mean of its divisors is an integer number (87908436).

Almost surely, 2^10955481600 is an apocalyptic number.

10955481600 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 10955481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21098024640).

10955481600 is an abundant number, since it is smaller than the sum of its proper divisors (31240567680).

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

10955481600 is an equidigital number, since it uses as much as digits as its factorization.

10955481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 10955481600 in words is "ten billion, nine hundred fifty-five million, four hundred eighty-one thousand, six hundred".