128207988216 has 256 divisors, whose sum is σ = 444413952000. Its totient is φ = 33270514560.

The previous prime is 128207988197. The next prime is 128207988217. The reversal of 128207988216 is 612889702821.

128207988216 is a `hidden beast` number, since 1 + 282 + 0 + 79 + 88 + 216 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128207988217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22733125 + ... + 22738763.

It is an arithmetic number, because the mean of its divisors is an integer number (1735992000).

Almost surely, 2^128207988216 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 128207988216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222206976000).

128207988216 is an abundant number, since it is smaller than the sum of its proper divisors (316205963784).

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

128207988216 is a wasteful number, since it uses less digits than its factorization.

128207988216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 128207988216 in words is "one hundred twenty-eight billion, two hundred seven million, nine hundred eighty-eight thousand, two hundred sixteen".