128026098720 has 360 divisors, whose sum is σ = 489263136516. Its totient is φ = 31513577472.

The previous prime is 128026098703. The next prime is 128026098751. The reversal of 128026098720 is 27890620821.

128026098720 is a `hidden beast` number, since 1 + 280 + 260 + 98 + 7 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2396304 + 128023702416 = 1548^2 + 357804^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2161014 + ... + 2219466.

Almost surely, 2^128026098720 is an apocalyptic number.

128026098720 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 128026098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244631568258).

128026098720 is an abundant number, since it is smaller than the sum of its proper divisors (361237037796).

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

128026098720 is a wasteful number, since it uses less digits than its factorization.

128026098720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58506 (or 58476 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 128026098720 in words is "one hundred twenty-eight billion, twenty-six million, ninety-eight thousand, seven hundred twenty".