128600640000 has 600 divisors, whose sum is σ = 530127929760. Its totient is φ = 29389824000.

The previous prime is 128600639977. The next prime is 128600640013. The reversal of 128600640000 is 46006821.

128600640000 is a `hidden beast` number, since 12 + 8 + 6 + 0 + 0 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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, 20156811 + ... + 20163189.

Almost surely, 2^128600640000 is an apocalyptic number.

128600640000 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 128600640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265063964880).

128600640000 is an abundant number, since it is smaller than the sum of its proper divisors (401527289760).

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

128600640000 is an frugal number, since it uses more digits than its factorization.

128600640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 128600640000 its reverse (46006821), we get a palindrome (128646646821).

It can be divided in two parts, 1286006 and 40000, that added together give a triangular number (1326006 = T₁₆₂₈).

The spelling of 128600640000 in words is "one hundred twenty-eight billion, six hundred million, six hundred forty thousand".