128726517760 has 384 divisors, whose sum is σ = 341353958400. Its totient is φ = 46425702400.

The previous prime is 128726517697. The next prime is 128726517767. The reversal of 128726517760 is 67715627821.

It is a junction number, because it is equal to n+sod(n) for n = 128726517698 and 128726517707.

It is not an unprimeable number, because it can be changed into a prime (128726517767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321013560 + ... + 321013960.

It is an arithmetic number, because the mean of its divisors is an integer number (888942600).

Almost surely, 2^128726517760 is an apocalyptic number.

128726517760 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 128726517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170676979200).

128726517760 is an abundant number, since it is smaller than the sum of its proper divisors (212627440640).

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

128726517760 is a wasteful number, since it uses less digits than its factorization.

128726517760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 128726517760 in words is "one hundred twenty-eight billion, seven hundred twenty-six million, five hundred seventeen thousand, seven hundred sixty".