20128905216 has 1152 divisors, whose sum is σ = 80668224000. Its totient is φ = 4904976384.

The previous prime is 20128905179. The next prime is 20128905217. The reversal of 20128905216 is 61250982102.

20128905216 is a `hidden beast` number, since 2 + 0 + 128 + 9 + 0 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (20128905217) 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, 875169781 + ... + 875169803.

It is an arithmetic number, because the mean of its divisors is an integer number (70024500).

Almost surely, 2^20128905216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20128905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112000).

20128905216 is an abundant number, since it is smaller than the sum of its proper divisors (60539318784).

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

20128905216 is a wasteful number, since it uses less digits than its factorization.

20128905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 20128905216 in words is "twenty billion, one hundred twenty-eight million, nine hundred five thousand, two hundred sixteen".