128563200000 has 900 divisors, whose sum is σ = 495569156544. Its totient is φ = 33177600000.

The previous prime is 128563199987. The next prime is 128563200013. The reversal of 128563200000 is 2365821.

128563200000 is a `hidden beast` number, since 1 + 28 + 5 + 632 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128563199987) and next prime (128563200013).

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4147199985 + ... + 4147200015.

Almost surely, 2^128563200000 is an apocalyptic number.

128563200000 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 128563200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247784578272).

128563200000 is an abundant number, since it is smaller than the sum of its proper divisors (367005956544).

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

128563200000 is an frugal number, since it uses more digits than its factorization.

128563200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 128563200000 its reverse (2365821), we get a palindrome (128565565821).

The spelling of 128563200000 in words is "one hundred twenty-eight billion, five hundred sixty-three million, two hundred thousand".