128251791360 has 1728 divisors, whose sum is σ = 587264670720. Its totient is φ = 25303449600.

The previous prime is 128251791341. The next prime is 128251791361. The reversal of 128251791360 is 63197152821.

128251791360 is a `hidden beast` number, since 1 + 282 + 5 + 1 + 7 + 9 + 1 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128251791361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2419845094 + ... + 2419845146.

It is an arithmetic number, because the mean of its divisors is an integer number (339852240).

Almost surely, 2^128251791360 is an apocalyptic number.

128251791360 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 128251791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293632335360).

128251791360 is an abundant number, since it is smaller than the sum of its proper divisors (459012879360).

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

128251791360 is a wasteful number, since it uses less digits than its factorization.

128251791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 128251791360 in words is "one hundred twenty-eight billion, two hundred fifty-one million, seven hundred ninety-one thousand, three hundred sixty".