10730301920 has 192 divisors, whose sum is σ = 28470367296. Its totient is φ = 3795517440.

The previous prime is 10730301917. The next prime is 10730301947. The reversal of 10730301920 is 2910303701.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10730301920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5155280 + ... + 5157360.

It is an arithmetic number, because the mean of its divisors is an integer number (148283163).

Almost surely, 2^10730301920 is an apocalyptic number.

10730301920 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 10730301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235183648).

10730301920 is an abundant number, since it is smaller than the sum of its proper divisors (17740065376).

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

10730301920 is a wasteful number, since it uses less digits than its factorization.

10730301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The spelling of 10730301920 in words is "ten billion, seven hundred thirty million, three hundred one thousand, nine hundred twenty".