16167985320960 has 2112 divisors, whose sum is σ = 68600484126720. Its totient is φ = 3473968988160.

The previous prime is 16167985320959. The next prime is 16167985320967. The reversal of 16167985320960 is 6902358976161.

16167985320960 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 7 + 9 + 8 + 532 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×16167985320960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16167985320967) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 10410807544 + ... + 10410809096.

Almost surely, 2^{16167985320960} is an apocalyptic number.

16167985320960 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 16167985320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34300242063360).

16167985320960 is an abundant number, since it is smaller than the sum of its proper divisors (52432498805760).

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

16167985320960 is a wasteful number, since it uses less digits than its factorization.

16167985320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 16167985320960 in words is "sixteen trillion, one hundred sixty-seven billion, nine hundred eighty-five million, three hundred twenty thousand, nine hundred sixty".