16128745920 has 1176 divisors, whose sum is σ = 71779723344. Its totient is φ = 3427909632.

The previous prime is 16128745891. The next prime is 16128745921. The reversal of 16128745920 is 2954782161.

16128745920 is a `hidden beast` number, since 1 + 612 + 8 + 7 + 4 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16128745921) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 194322199 + ... + 194322281.

Almost surely, 2^16128745920 is an apocalyptic number.

16128745920 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 16128745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35889861672).

16128745920 is an abundant number, since it is smaller than the sum of its proper divisors (55650977424).

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

16128745920 is an equidigital number, since it uses as much as digits as its factorization.

16128745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16128745920 in words is "sixteen billion, one hundred twenty-eight million, seven hundred forty-five thousand, nine hundred twenty".