10886632960 has 160 divisors (see below), whose sum is σ = 29933209152. Its totient is φ = 3719823360.

The previous prime is 10886632949. The next prime is 10886632963. The reversal of 10886632960 is 6923668801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10886632963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6324900 + ... + 6326620.

Almost surely, 2^10886632960 is an apocalyptic number.

10886632960 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 10886632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966604576).

10886632960 is an abundant number, since it is smaller than the sum of its proper divisors (19046576192).

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

10886632960 is an equidigital number, since it uses as much as digits as its factorization.

10886632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 10886632960 in words is "ten billion, eight hundred eighty-six million, six hundred thirty-two thousand, nine hundred sixty".