128717527680 has 1536 divisors, whose sum is σ = 570286080000. Its totient is φ = 27653197824.

The previous prime is 128717527669. The next prime is 128717527693. The reversal of 128717527680 is 86725717821.

128717527680 is a `hidden beast` number, since 1 + 28 + 7 + 17 + 527 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1013523777 + ... + 1013523903.

It is an arithmetic number, because the mean of its divisors is an integer number (371280000).

Almost surely, 2^128717527680 is an apocalyptic number.

128717527680 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 128717527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285143040000).

128717527680 is an abundant number, since it is smaller than the sum of its proper divisors (441568552320).

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

128717527680 is an equidigital number, since it uses as much as digits as its factorization.

128717527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 128717527680 in words is "one hundred twenty-eight billion, seven hundred seventeen million, five hundred twenty-seven thousand, six hundred eighty".