16020648000 has 1008 divisors, whose sum is σ = 70467321600. Its totient is φ = 3454617600.

The previous prime is 16020647989. The next prime is 16020648011. The reversal of 16020648000 is 84602061.

16020648000 is a `hidden beast` number, since 16 + 0 + 2 + 0 + 648 + 0 + 0 + 0 = 666.

16020648000 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 (16020647989) and next prime (16020648011).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×16020648000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 67031881 + ... + 67032119.

Almost surely, 2^16020648000 is an apocalyptic number.

16020648000 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 16020648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35233660800).

16020648000 is an abundant number, since it is smaller than the sum of its proper divisors (54446673600).

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

16020648000 is a wasteful number, since it uses less digits than its factorization.

16020648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 16020648000 in words is "sixteen billion, twenty million, six hundred forty-eight thousand".