128509498624 has 144 divisors (see below), whose sum is σ = 295527104208. Its totient is φ = 55245275136.

The previous prime is 128509498619. The next prime is 128509498631. The reversal of 128509498624 is 426894905821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1602561024 + 126906937600 = 40032^2 + 356240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5476164 + ... + 5499580.

It is an arithmetic number, because the mean of its divisors is an integer number (2052271557).

Almost surely, 2^128509498624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128509498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147763552104).

128509498624 is an abundant number, since it is smaller than the sum of its proper divisors (167017605584).

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

128509498624 is a wasteful number, since it uses less digits than its factorization.

128509498624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23560 (or 23546 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 128509498624 in words is "one hundred twenty-eight billion, five hundred nine million, four hundred ninety-eight thousand, six hundred twenty-four".