16852225167360 has 1560 divisors, whose sum is σ = 67575058024320. Its totient is φ = 4013321748480.

The previous prime is 16852225167313. The next prime is 16852225167373. The reversal of 16852225167360 is 6376152225861.

16852225167360 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 22 + 251 + 6 + 7 + 360 = 666.

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 = 16852225167297 and 16852225167306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11842743609 + ... + 11842745031.

Almost surely, 2^{16852225167360} is an apocalyptic number.

16852225167360 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 16852225167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33787529012160).

16852225167360 is an abundant number, since it is smaller than the sum of its proper divisors (50722832856960).

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

16852225167360 is a wasteful number, since it uses less digits than its factorization.

16852225167360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16852225167360 in words is "sixteen trillion, eight hundred fifty-two billion, two hundred twenty-five million, one hundred sixty-seven thousand, three hundred sixty".