10995609600 has 624 divisors, whose sum is σ = 41805553440. Its totient is φ = 2831155200.

The previous prime is 10995609589. The next prime is 10995609607. The reversal of 10995609600 is 690659901.

It is a super-2 number, since 2×10995609600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10995609607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 113356752 + ... + 113356848.

Almost surely, 2^10995609600 is an apocalyptic number.

10995609600 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 10995609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902776720).

10995609600 is an abundant number, since it is smaller than the sum of its proper divisors (30809943840).

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

10995609600 is an equidigital number, since it uses as much as digits as its factorization.

10995609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 10995609600 in words is "ten billion, nine hundred ninety-five million, six hundred nine thousand, six hundred".