16852768128 has 192 divisors, whose sum is σ = 55551974400. Its totient is φ = 4803922944.

The previous prime is 16852768039. The next prime is 16852768147. The reversal of 16852768128 is 82186725861.

16852768128 is a `hidden beast` number, since 16 + 8 + 527 + 6 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×16852768128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3860475 + ... + 3864837.

It is an arithmetic number, because the mean of its divisors is an integer number (289333200).

Almost surely, 2^16852768128 is an apocalyptic number.

16852768128 is a gapful number since it is divisible by the number (18) 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 16852768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27775987200).

16852768128 is an abundant number, since it is smaller than the sum of its proper divisors (38699206272).

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

16852768128 is a wasteful number, since it uses less digits than its factorization.

16852768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4854 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 16852768128 in words is "sixteen billion, eight hundred fifty-two million, seven hundred sixty-eight thousand, one hundred twenty-eight".