16852130760192 has 640 divisors, whose sum is σ = 57944951285760. Its totient is φ = 4232400076800.

The previous prime is 16852130760181. The next prime is 16852130760233. The reversal of 16852130760192 is 29106703125861.

It is a super-2 number, since 2×16852130760192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295877317 + ... + 295934267.

It is an arithmetic number, because the mean of its divisors is an integer number (90538986384).

Almost surely, 2^{16852130760192} is an apocalyptic number.

16852130760192 is a gapful number since it is divisible by the number (12) 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 16852130760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28972475642880).

16852130760192 is an abundant number, since it is smaller than the sum of its proper divisors (41092820525568).

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

16852130760192 is a wasteful number, since it uses less digits than its factorization.

16852130760192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57094 (or 57078 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 16852130760192 in words is "sixteen trillion, eight hundred fifty-two billion, one hundred thirty million, seven hundred sixty thousand, one hundred ninety-two".