115275368429760 has 1792 divisors, whose sum is σ = 486565511528448. Its totient is φ = 22385767219200.

The previous prime is 115275368429723. The next prime is 115275368429779. The reversal of 115275368429760 is 67924863572511.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 115275368429691 and 115275368429700.

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 255 ways as a sum of consecutive naturals, for example, 155148543949 + ... + 155148544691.

It is a 1-persistent number, because it is pandigital, but 2⋅115275368429760 = 230550736859520 is not.

Almost surely, 2^{115275368429760} is an apocalyptic number.

115275368429760 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 115275368429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243282755764224).

115275368429760 is an abundant number, since it is smaller than the sum of its proper divisors (371290143098688).

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

115275368429760 is a wasteful number, since it uses less digits than its factorization.

115275368429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 115275368429760 in words is "one hundred fifteen trillion, two hundred seventy-five billion, three hundred sixty-eight million, four hundred twenty-nine thousand, seven hundred sixty".