115282220389128 has 192 divisors, whose sum is σ = 347939686080000. Its totient is φ = 35350386170112.

The previous prime is 115282220389097. The next prime is 115282220389199. The reversal of 115282220389128 is 821983022282511.

115282220389128 is a `hidden beast` number, since 1 + 1 + 5 + 28 + 2 + 220 + 389 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5306473 + ... + 16084871.

It is an arithmetic number, because the mean of its divisors is an integer number (1812185865000).

Almost surely, 2^{115282220389128} is an apocalyptic number.

115282220389128 is a gapful number since it is divisible by the number (18) 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 115282220389128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173969843040000).

115282220389128 is an abundant number, since it is smaller than the sum of its proper divisors (232657465690872).

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

115282220389128 is a wasteful number, since it uses less digits than its factorization.

115282220389128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778733 (or 10778710 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 115282220389128 in words is "one hundred fifteen trillion, two hundred eighty-two billion, two hundred twenty million, three hundred eighty-nine thousand, one hundred twenty-eight".