16122188160 has 640 divisors, whose sum is σ = 63447753600. Its totient is φ = 3876470784.

The previous prime is 16122188129. The next prime is 16122188171. The reversal of 16122188160 is 6188122161.

16122188160 is a `hidden beast` number, since 1 + 612 + 21 + 8 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31673986 + ... + 31674494.

It is an arithmetic number, because the mean of its divisors is an integer number (99137115).

Almost surely, 2^16122188160 is an apocalyptic number.

16122188160 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 16122188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31723876800).

16122188160 is an abundant number, since it is smaller than the sum of its proper divisors (47325565440).

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

16122188160 is a wasteful number, since it uses less digits than its factorization.

16122188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 16122188160 in words is "sixteen billion, one hundred twenty-two million, one hundred eighty-eight thousand, one hundred sixty".