115035610560 has 224 divisors, whose sum is σ = 393595433280. Its totient is φ = 28297592832.

The previous prime is 115035610531. The next prime is 115035610577. The reversal of 115035610560 is 65016530511.

It is a Cunningham number, because it is equal to 339169²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32558554 + ... + 32562086.

It is an arithmetic number, because the mean of its divisors is an integer number (1757122470).

Almost surely, 2^115035610560 is an apocalyptic number.

115035610560 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 115035610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196797716640).

115035610560 is an abundant number, since it is smaller than the sum of its proper divisors (278559822720).

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

115035610560 is a wasteful number, since it uses less digits than its factorization.

115035610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 115035610560 in words is "one hundred fifteen billion, thirty-five million, six hundred ten thousand, five hundred sixty".