10427717227830 has 384 divisors, whose sum is σ = 30249328766976. Its totient is φ = 2292203692800.

The previous prime is 10427717227793. The next prime is 10427717227841. The reversal of 10427717227830 is 3872271772401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5757987625 + ... + 5757989435.

It is an arithmetic number, because the mean of its divisors is an integer number (78774293664).

Almost surely, 2^{10427717227830} is an apocalyptic number.

10427717227830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427717227830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124664383488).

10427717227830 is an abundant number, since it is smaller than the sum of its proper divisors (19821611539146).

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

10427717227830 is a wasteful number, since it uses less digits than its factorization.

10427717227830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 51.

The spelling of 10427717227830 in words is "ten trillion, four hundred twenty-seven billion, seven hundred seventeen million, two hundred twenty-seven thousand, eight hundred thirty".