10895360112 has 720 divisors, whose sum is σ = 41922004320. Its totient is φ = 2684731392.

The previous prime is 10895360089. The next prime is 10895360123. The reversal of 10895360112 is 21106359801.

10895360112 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 536 + 0 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 79528108 + ... + 79528244.

It is an arithmetic number, because the mean of its divisors is an integer number (58225006).

Almost surely, 2^10895360112 is an apocalyptic number.

10895360112 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 10895360112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961002160).

10895360112 is an abundant number, since it is smaller than the sum of its proper divisors (31026644208).

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

10895360112 is a wasteful number, since it uses less digits than its factorization.

10895360112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10895360112 in words is "ten billion, eight hundred ninety-five million, three hundred sixty thousand, one hundred twelve".