115564910345280 has 1344 divisors, whose sum is σ = 468218130831360. Its totient is φ = 26762394193920.

The previous prime is 115564910345153. The next prime is 115564910345281. The reversal of 115564910345280 is 82543019465511.

115564910345280 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 4 + 9 + 10 + 345 + 280 = 666.

It is a super-2 number, since 2×115564910345280² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (115564910345281) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 21231838239 + ... + 21231843681.

It is an arithmetic number, because the mean of its divisors is an integer number (348376585440).

Almost surely, 2^{115564910345280} is an apocalyptic number.

115564910345280 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 115564910345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234109065415680).

115564910345280 is an abundant number, since it is smaller than the sum of its proper divisors (352653220486080).

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

115564910345280 is a wasteful number, since it uses less digits than its factorization.

115564910345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 115564910345280 in words is "one hundred fifteen trillion, five hundred sixty-four billion, nine hundred ten million, three hundred forty-five thousand, two hundred eighty".