10905576960 has 320 divisors, whose sum is σ = 36783217152. Its totient is φ = 2750939136.

The previous prime is 10905576953. The next prime is 10905576961. The reversal of 10905576960 is 6967550901.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10905576961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18900192 + ... + 18900768.

Almost surely, 2^10905576960 is an apocalyptic number.

10905576960 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 10905576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391608576).

10905576960 is an abundant number, since it is smaller than the sum of its proper divisors (25877640192).

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

10905576960 is a wasteful number, since it uses less digits than its factorization.

10905576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The spelling of 10905576960 in words is "ten billion, nine hundred five million, five hundred seventy-six thousand, nine hundred sixty".