16825667330160 has 640 divisors, whose sum is σ = 64132548587520. Its totient is φ = 4027719168000.

The previous prime is 16825667330117. The next prime is 16825667330203. The reversal of 16825667330160 is 6103376652861.

16825667330160 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 566 + 73 + 3 + 0 + 1 + 6 + 0 = 666.

16825667330160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16825667330117) and next prime (16825667330203).

It is a super-3 number, since 3×16825667330160³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16825667330097 and 16825667330106.

It is a congruent number.

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, 3398435685 + ... + 3398440635.

It is an arithmetic number, because the mean of its divisors is an integer number (100207107168).

Almost surely, 2^{16825667330160} is an apocalyptic number.

16825667330160 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 16825667330160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32066274293760).

16825667330160 is an abundant number, since it is smaller than the sum of its proper divisors (47306881257360).

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

16825667330160 is a wasteful number, since it uses less digits than its factorization.

16825667330160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 16825667330160 in words is "sixteen trillion, eight hundred twenty-five billion, six hundred sixty-seven million, three hundred thirty thousand, one hundred sixty".