10930924351680 has 224 divisors, whose sum is σ = 35943450632640. Its totient is φ = 2811183513600.

The previous prime is 10930924351663. The next prime is 10930924351687. The reversal of 10930924351680 is 8615342903901.

It is not an unprimeable number, because it can be changed into a prime (10930924351687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24191830 + ... + 24639530.

Almost surely, 2^{10930924351680} is an apocalyptic number.

10930924351680 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 10930924351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971725316320).

10930924351680 is an abundant number, since it is smaller than the sum of its proper divisors (25012526280960).

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

10930924351680 is a wasteful number, since it uses less digits than its factorization.

10930924351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448627 (or 448617 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 10930924351680 in words is "ten trillion, nine hundred thirty billion, nine hundred twenty-four million, three hundred fifty-one thousand, six hundred eighty".