128525787445536 has 576 divisors, whose sum is σ = 402263831039616. Its totient is φ = 38685811507200.

The previous prime is 128525787445501. The next prime is 128525787445543. The reversal of 128525787445536 is 635544787525821.

128525787445536 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 2 + 5 + 7 + 87 + 4 + 4 + 5 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41180962056 + ... + 41180965176.

It is an arithmetic number, because the mean of its divisors is an integer number (698374706666).

Almost surely, 2^{128525787445536} is an apocalyptic number.

128525787445536 is a gapful number since it is divisible by the number (16) 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 128525787445536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201131915519808).

128525787445536 is an abundant number, since it is smaller than the sum of its proper divisors (273738043594080).

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

128525787445536 is a wasteful number, since it uses less digits than its factorization.

128525787445536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4294 counting only the distinct ones).

The product of its digits is 2257920000, while the sum is 72.

The spelling of 128525787445536 in words is "one hundred twenty-eight trillion, five hundred twenty-five billion, seven hundred eighty-seven million, four hundred forty-five thousand, five hundred thirty-six".