115959609484992 has 1792 divisors, whose sum is σ = 442134901555200. Its totient is φ = 28983453696000.

The previous prime is 115959609484987. The next prime is 115959609484993. The reversal of 115959609484992 is 299484906959511.

115959609484992 is a `hidden beast` number, since 1 + 15 + 9 + 59 + 60 + 9 + 4 + 8 + 499 + 2 = 666.

It is a super-2 number, since 2×115959609484992² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115959609484993) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80583466609 + ... + 80583468047.

It is an arithmetic number, because the mean of its divisors is an integer number (246727065600).

Almost surely, 2^{115959609484992} is an apocalyptic number.

115959609484992 is a gapful number since it is divisible by the number (12) 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 115959609484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221067450777600).

115959609484992 is an abundant number, since it is smaller than the sum of its proper divisors (326175292070208).

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

115959609484992 is a wasteful number, since it uses less digits than its factorization.

115959609484992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 2267481600, while the sum is 81.

The spelling of 115959609484992 in words is "one hundred fifteen trillion, nine hundred fifty-nine billion, six hundred nine million, four hundred eighty-four thousand, nine hundred ninety-two".