128053686060 has 144 divisors (see below), whose sum is σ = 391935398400. Its totient is φ = 33840346752.

The previous prime is 128053686049. The next prime is 128053686109. The reversal of 128053686060 is 60686350821.

128053686060 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 5 + 36 + 8 + 606 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 128053685997 and 128053686015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14682381 + ... + 14691099.

It is an arithmetic number, because the mean of its divisors is an integer number (2721773600).

Almost surely, 2^128053686060 is an apocalyptic number.

128053686060 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 128053686060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195967699200).

128053686060 is an abundant number, since it is smaller than the sum of its proper divisors (263881712340).

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

128053686060 is a wasteful number, since it uses less digits than its factorization.

128053686060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 128053686060 in words is "one hundred twenty-eight billion, fifty-three million, six hundred eighty-six thousand, sixty".