115811263226880 has 2816 divisors, whose sum is σ = 498102267801600. Its totient is φ = 25207756554240.

The previous prime is 115811263226851. The next prime is 115811263226933. The reversal of 115811263226880 is 88622362118511.

115811263226880 is a `hidden beast` number, since 1 + 1 + 5 + 81 + 1 + 263 + 226 + 8 + 80 = 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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76041537799 + ... + 76041539321.

It is an arithmetic number, because the mean of its divisors is an integer number (176882907600).

Almost surely, 2^{115811263226880} is an apocalyptic number.

115811263226880 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 115811263226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249051133900800).

115811263226880 is an abundant number, since it is smaller than the sum of its proper divisors (382291004574720).

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

115811263226880 is a wasteful number, since it uses less digits than its factorization.

115811263226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1713 counting only the distinct ones).

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

The spelling of 115811263226880 in words is "one hundred fifteen trillion, eight hundred eleven billion, two hundred sixty-three million, two hundred twenty-six thousand, eight hundred eighty".