10016959333920 has 768 divisors, whose sum is σ = 41287624777728. Its totient is φ = 1979411005440.

The previous prime is 10016959333889. The next prime is 10016959333963. The reversal of 10016959333920 is 2933395961001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147029784 + ... + 147097896.

It is an arithmetic number, because the mean of its divisors is an integer number (53759928096).

Almost surely, 2^{10016959333920} is an apocalyptic number.

10016959333920 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 10016959333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643812388864).

10016959333920 is an abundant number, since it is smaller than the sum of its proper divisors (31270665443808).

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

10016959333920 is a wasteful number, since it uses less digits than its factorization.

10016959333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68345 (or 68337 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 51.

The spelling of 10016959333920 in words is "ten trillion, sixteen billion, nine hundred fifty-nine million, three hundred thirty-three thousand, nine hundred twenty".