10849110580 has 480 divisors, whose sum is σ = 32525660160. Its totient is φ = 2999082240.

The previous prime is 10849110577. The next prime is 10849110583. The reversal of 10849110580 is 8501194801.

It is an interprime number because it is at equal distance from previous prime (10849110577) and next prime (10849110583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10849110583) 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 159 ways as a sum of consecutive naturals, for example, 230832117 + ... + 230832163.

It is an arithmetic number, because the mean of its divisors is an integer number (67761792).

Almost surely, 2^10849110580 is an apocalyptic number.

10849110580 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 10849110580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262830080).

10849110580 is an abundant number, since it is smaller than the sum of its proper divisors (21676549580).

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

10849110580 is a wasteful number, since it uses less digits than its factorization.

10849110580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 10849110580 in words is "ten billion, eight hundred forty-nine million, one hundred ten thousand, five hundred eighty".