16428720000 has 960 divisors, whose sum is σ = 69745674240. Its totient is φ = 3386880000.

The previous prime is 16428719971. The next prime is 16428720001. The reversal of 16428720000 is 2782461.

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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 16428720000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16428720001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 129359937 + ... + 129360063.

It is an arithmetic number, because the mean of its divisors is an integer number (72651744).

Almost surely, 2^16428720000 is an apocalyptic number.

16428720000 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 16428720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872837120).

16428720000 is an abundant number, since it is smaller than the sum of its proper divisors (53316954240).

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

16428720000 is a wasteful number, since it uses less digits than its factorization.

16428720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 16428720000 in words is "sixteen billion, four hundred twenty-eight million, seven hundred twenty thousand".