128778240000 has 400 divisors, whose sum is σ = 432398775600. Its totient is φ = 34078720000.

The previous prime is 128778239977. The next prime is 128778240007. The reversal of 128778240000 is 42877821.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (128778240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 983039935 + ... + 983040065.

It is an arithmetic number, because the mean of its divisors is an integer number (1080996939).

Almost surely, 2^128778240000 is an apocalyptic number.

128778240000 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 128778240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216199387800).

128778240000 is an abundant number, since it is smaller than the sum of its proper divisors (303620535600).

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

128778240000 is an frugal number, since it uses more digits than its factorization.

128778240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 128778240000 in words is "one hundred twenty-eight billion, seven hundred seventy-eight million, two hundred forty thousand".