128302755840 has 1248 divisors, whose sum is σ = 549554503680. Its totient is φ = 28092137472.

The previous prime is 128302755809. The next prime is 128302755853. The reversal of 128302755840 is 48557203821.

128302755840 is a `hidden beast` number, since 1 + 2 + 8 + 30 + 27 + 558 + 40 = 666.

It is a super-2 number, since 2×128302755840² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1010257857 + ... + 1010257983.

It is an arithmetic number, because the mean of its divisors is an integer number (440348160).

Almost surely, 2^128302755840 is an apocalyptic number.

128302755840 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 128302755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274777251840).

128302755840 is an abundant number, since it is smaller than the sum of its proper divisors (421251747840).

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

128302755840 is an equidigital number, since it uses as much as digits as its factorization.

128302755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 128302755840 in words is "one hundred twenty-eight billion, three hundred two million, seven hundred fifty-five thousand, eight hundred forty".