10995105672 has 128 divisors (see below), whose sum is σ = 31214937600. Its totient is φ = 3584715264.

The previous prime is 10995105659. The next prime is 10995105673. The reversal of 10995105672 is 27650159901.

10995105672 is a `hidden beast` number, since 10 + 9 + 9 + 510 + 56 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10995105673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4200108 + ... + 4202724.

It is an arithmetic number, because the mean of its divisors is an integer number (243866700).

Almost surely, 2^10995105672 is an apocalyptic number.

10995105672 is a gapful number since it is divisible by the number (12) 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 10995105672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607468800).

10995105672 is an abundant number, since it is smaller than the sum of its proper divisors (20219831928).

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

10995105672 is a wasteful number, since it uses less digits than its factorization.

10995105672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 10995105672 in words is "ten billion, nine hundred ninety-five million, one hundred five thousand, six hundred seventy-two".