128515410000 has 1050 divisors, whose sum is σ = 503689566182. Its totient is φ = 31726080000.

The previous prime is 128515409989. The next prime is 128515410007. The reversal of 128515410000 is 14515821.

It can be written as a sum of positive squares in 15 ways, for example, as 127174971456 + 1340438544 = 356616^2 + 36612^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128515410007) by changing a digit.

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 209 ways as a sum of consecutive naturals, for example, 2106809970 + ... + 2106810030.

Almost surely, 2^128515410000 is an apocalyptic number.

128515410000 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 128515410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251844783091).

128515410000 is an abundant number, since it is smaller than the sum of its proper divisors (375174156182).

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

128515410000 is an frugal number, since it uses more digits than its factorization.

128515410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 128515410000 its reverse (14515821), we get a palindrome (128529925821).

The spelling of 128515410000 in words is "one hundred twenty-eight billion, five hundred fifteen million, four hundred ten thousand".