10853293440 has 512 divisors, whose sum is σ = 39565946880. Its totient is φ = 2527641600.

The previous prime is 10853293421. The next prime is 10853293441. The reversal of 10853293440 is 4439235801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10853293441) 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 63 ways as a sum of consecutive naturals, for example, 79221052 + ... + 79221188.

It is an arithmetic number, because the mean of its divisors is an integer number (77277240).

Almost surely, 2^10853293440 is an apocalyptic number.

10853293440 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 10853293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782973440).

10853293440 is an abundant number, since it is smaller than the sum of its proper divisors (28712653440).

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

10853293440 is a wasteful number, since it uses less digits than its factorization.

10853293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 10853293440 in words is "ten billion, eight hundred fifty-three million, two hundred ninety-three thousand, four hundred forty".