10909200960 has 448 divisors, whose sum is σ = 44719280640. Its totient is φ = 2451824640.

The previous prime is 10909200959. The next prime is 10909200977. The reversal of 10909200960 is 6900290901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 3687802 + ... + 3690758.

Almost surely, 2^10909200960 is an apocalyptic number.

10909200960 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 10909200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22359640320).

10909200960 is an abundant number, since it is smaller than the sum of its proper divisors (33810079680).

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

10909200960 is a wasteful number, since it uses less digits than its factorization.

10909200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 10909200960 in words is "ten billion, nine hundred nine million, two hundred thousand, nine hundred sixty".