10945425120 has 192 divisors, whose sum is σ = 40072112640. Its totient is φ = 2459363328.

The previous prime is 10945425103. The next prime is 10945425199. The reversal of 10945425120 is 2152454901.

10945425120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 170634 + ... + 225846.

It is an arithmetic number, because the mean of its divisors is an integer number (208708920).

Almost surely, 2^10945425120 is an apocalyptic number.

10945425120 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 10945425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20036056320).

10945425120 is an abundant number, since it is smaller than the sum of its proper divisors (29126687520).

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

10945425120 is a wasteful number, since it uses less digits than its factorization.

10945425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55297 (or 55289 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 10945425120 in words is "ten billion, nine hundred forty-five million, four hundred twenty-five thousand, one hundred twenty".