10896844140 has 672 divisors, whose sum is σ = 43435155456. Its totient is φ = 2233889280.

The previous prime is 10896844087. The next prime is 10896844141. The reversal of 10896844140 is 4144869801.

10896844140 is a `hidden beast` number, since 108 + 9 + 68 + 441 + 40 = 666.

It is a super-2 number, since 2×10896844140² (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 (10896844141) 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 223 ways as a sum of consecutive naturals, for example, 57051445 + ... + 57051635.

It is an arithmetic number, because the mean of its divisors is an integer number (64635648).

Almost surely, 2^10896844140 is an apocalyptic number.

10896844140 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 10896844140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717577728).

10896844140 is an abundant number, since it is smaller than the sum of its proper divisors (32538311316).

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

10896844140 is a wasteful number, since it uses less digits than its factorization.

10896844140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10896844140 in words is "ten billion, eight hundred ninety-six million, eight hundred forty-four thousand, one hundred forty".