10168123980 has 288 divisors, whose sum is σ = 36392025600. Its totient is φ = 2071830528.

The previous prime is 10168123967. The next prime is 10168124003. The reversal of 10168123980 is 8932186101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2304016 + ... + 2308424.

It is an arithmetic number, because the mean of its divisors is an integer number (126361200).

Almost surely, 2^10168123980 is an apocalyptic number.

10168123980 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 10168123980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196012800).

10168123980 is an abundant number, since it is smaller than the sum of its proper divisors (26223901620).

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

10168123980 is a wasteful number, since it uses less digits than its factorization.

10168123980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 10168123980 in words is "ten billion, one hundred sixty-eight million, one hundred twenty-three thousand, nine hundred eighty".