10995264000 has 960 divisors, whose sum is σ = 47401466112. Its totient is φ = 2488320000.

The previous prime is 10995263921. The next prime is 10995264001. The reversal of 10995264000 is 46259901.

10995264000 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 5 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (10995264001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863950 + ... + 108864050.

Almost surely, 2^10995264000 is an apocalyptic number.

10995264000 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 10995264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700733056).

10995264000 is an abundant number, since it is smaller than the sum of its proper divisors (36406202112).

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

10995264000 is an frugal number, since it uses more digits than its factorization.

10995264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10995264000 in words is "ten billion, nine hundred ninety-five million, two hundred sixty-four thousand".