16648220160 has 960 divisors, whose sum is σ = 70351497216. Its totient is φ = 3583180800.

The previous prime is 16648220131. The next prime is 16648220167. The reversal of 16648220160 is 6102284661.

16648220160 is a `hidden beast` number, since 1 + 6 + 648 + 2 + 2 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16648220167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102136239 + ... + 102136401.

Almost surely, 2^16648220160 is an apocalyptic number.

16648220160 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 16648220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175748608).

16648220160 is an abundant number, since it is smaller than the sum of its proper divisors (53703277056).

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

16648220160 is a wasteful number, since it uses less digits than its factorization.

16648220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16648220160 in words is "sixteen billion, six hundred forty-eight million, two hundred twenty thousand, one hundred sixty".