10016233920 has 1008 divisors, whose sum is σ = 45327320064. Its totient is φ = 1971302400.

The previous prime is 10016233897. The next prime is 10016233957. The reversal of 10016233920 is 2933261001.

10016233920 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 623 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 213111337 + ... + 213111383.

Almost surely, 2^10016233920 is an apocalyptic number.

10016233920 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 10016233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663660032).

10016233920 is an abundant number, since it is smaller than the sum of its proper divisors (35311086144).

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

10016233920 is a wasteful number, since it uses less digits than its factorization.

10016233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10016233920 its reverse (2933261001), we get a palindrome (12949494921).

The spelling of 10016233920 in words is "ten billion, sixteen million, two hundred thirty-three thousand, nine hundred twenty".