128826351360 has 432 divisors, whose sum is σ = 523180572096. Its totient is φ = 28649521152.

The previous prime is 128826351359. The next prime is 128826351361. The reversal of 128826351360 is 63153628821.

128826351360 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 635 + 1 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128826351359) and next prime (128826351361).

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 (128826351361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2962092 + ... + 3005268.

Almost surely, 2^128826351360 is an apocalyptic number.

128826351360 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 128826351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261590286048).

128826351360 is an abundant number, since it is smaller than the sum of its proper divisors (394354220736).

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

128826351360 is a wasteful number, since it uses less digits than its factorization.

128826351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43248 (or 43231 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 128826351360 in words is "one hundred twenty-eight billion, eight hundred twenty-six million, three hundred fifty-one thousand, three hundred sixty".