10730813184 has 648 divisors, whose sum is σ = 39835041792. Its totient is φ = 2717245440.

The previous prime is 10730813167. The next prime is 10730813221. The reversal of 10730813184 is 48131803701.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84494529 + ... + 84494655.

Almost surely, 2^10730813184 is an apocalyptic number.

10730813184 is a gapful number since it is divisible by the number (14) 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 10730813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917520896).

10730813184 is an abundant number, since it is smaller than the sum of its proper divisors (29104228608).

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

10730813184 is a wasteful number, since it uses less digits than its factorization.

10730813184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10730813184 in words is "ten billion, seven hundred thirty million, eight hundred thirteen thousand, one hundred eighty-four".