10730689149600 has 1728 divisors, whose sum is σ = 47130842932992. Its totient is φ = 2241331200000.

The previous prime is 10730689149589. The next prime is 10730689149613. The reversal of 10730689149600 is 694198603701.

10730689149600 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 68 + 91 + 496 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8817328192 + ... + 8817329408.

It is an arithmetic number, because the mean of its divisors is an integer number (27274793364).

Almost surely, 2^{10730689149600} is an apocalyptic number.

10730689149600 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 10730689149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23565421466496).

10730689149600 is an abundant number, since it is smaller than the sum of its proper divisors (36400153783392).

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

10730689149600 is a wasteful number, since it uses less digits than its factorization.

10730689149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10730689149600 in words is "ten trillion, seven hundred thirty billion, six hundred eighty-nine million, one hundred forty-nine thousand, six hundred".