10909505958 has 64 divisors (see below), whose sum is σ = 24538913280. Its totient is φ = 3208220928.

The previous prime is 10909505947. The next prime is 10909505977. The reversal of 10909505958 is 85950590901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10909505958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4410210 + ... + 4412682.

It is an arithmetic number, because the mean of its divisors is an integer number (383420520).

Almost surely, 2^10909505958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10909505958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12269456640).

10909505958 is an abundant number, since it is smaller than the sum of its proper divisors (13629407322).

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

10909505958 is a wasteful number, since it uses less digits than its factorization.

10909505958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973.

The product of its (nonzero) digits is 729000, while the sum is 51.

The spelling of 10909505958 in words is "ten billion, nine hundred nine million, five hundred five thousand, nine hundred fifty-eight".