10954382208 has 1024 divisors, whose sum is σ = 42865459200. Its totient is φ = 2388787200.

The previous prime is 10954382143. The next prime is 10954382209. The reversal of 10954382208 is 80228345901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10954382208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10954382209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296064366 + ... + 296064402.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 2^10954382208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10954382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432729600).

10954382208 is an abundant number, since it is smaller than the sum of its proper divisors (31911076992).

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

10954382208 is a wasteful number, since it uses less digits than its factorization.

10954382208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10954382208 in words is "ten billion, nine hundred fifty-four million, three hundred eighty-two thousand, two hundred eight".