115223505611760 has 1600 divisors, whose sum is σ = 539496907488000. Its totient is φ = 22091790680064.

The previous prime is 115223505611713. The next prime is 115223505611791. The reversal of 115223505611760 is 67116505322511.

115223505611760 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 23 + 5 + 0 + 5 + 611 + 7 + 6 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 290514066 + ... + 290910414.

It is an arithmetic number, because the mean of its divisors is an integer number (337185567180).

Almost surely, 2^{115223505611760} is an apocalyptic number.

115223505611760 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 115223505611760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269748453744000).

115223505611760 is an abundant number, since it is smaller than the sum of its proper divisors (424273401876240).

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

115223505611760 is a wasteful number, since it uses less digits than its factorization.

115223505611760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396440 (or 396425 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 115223505611760 in words is "one hundred fifteen trillion, two hundred twenty-three billion, five hundred five million, six hundred eleven thousand, seven hundred sixty".