10849356160 has 64 divisors (see below), whose sum is σ = 26010758880. Its totient is φ = 4327358464.

The previous prime is 10849356109. The next prime is 10849356169. The reversal of 10849356160 is 6165394801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10849356169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 201909 + ... + 249931.

Almost surely, 2^10849356160 is an apocalyptic number.

10849356160 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 10849356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005379440).

10849356160 is an abundant number, since it is smaller than the sum of its proper divisors (15161402720).

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

10849356160 is an equidigital number, since it uses as much as digits as its factorization.

10849356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48395 (or 48383 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 10849356160 in words is "ten billion, eight hundred forty-nine million, three hundred fifty-six thousand, one hundred sixty".