128048947200 has 1008 divisors, whose sum is σ = 496919195136. Its totient is φ = 32646758400.

The previous prime is 128048947181. The next prime is 128048947241. The reversal of 128048947200 is 2749840821.

128048947200 is a `hidden beast` number, since 128 + 0 + 489 + 47 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1542758359 + ... + 1542758441.

It is an arithmetic number, because the mean of its divisors is an integer number (492975392).

Almost surely, 2^128048947200 is an apocalyptic number.

128048947200 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 128048947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248459597568).

128048947200 is an abundant number, since it is smaller than the sum of its proper divisors (368870247936).

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

128048947200 is an frugal number, since it uses more digits than its factorization.

128048947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 128048947200 in words is "one hundred twenty-eight billion, forty-eight million, nine hundred forty-seven thousand, two hundred".