10730428800 has 768 divisors, whose sum is σ = 44367160320. Its totient is φ = 2219212800.

The previous prime is 10730428799. The next prime is 10730428829. The reversal of 10730428800 is 882403701.

10730428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62025514 + ... + 62025686.

It is an arithmetic number, because the mean of its divisors is an integer number (57769740).

Almost surely, 2^10730428800 is an apocalyptic number.

10730428800 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 10730428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183580160).

10730428800 is an abundant number, since it is smaller than the sum of its proper divisors (33636731520).

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

10730428800 is a wasteful number, since it uses less digits than its factorization.

10730428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10730428800 in words is "ten billion, seven hundred thirty million, four hundred twenty-eight thousand, eight hundred".