115834678248960 has 5120 divisors, whose sum is σ = 514323561185280. Its totient is φ = 24680949350400.

The previous prime is 115834678248959. The next prime is 115834678248979. The reversal of 115834678248960 is 69842876438511.

115834678248960 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 3 + 4 + 6 + 7 + 82 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1395598533079 + ... + 1395598533161.

It is an arithmetic number, because the mean of its divisors is an integer number (100453820544).

It is a 1-persistent number, because it is pandigital, but 2⋅115834678248960 = 231669356497920 is not.

Almost surely, 2^{115834678248960} is an apocalyptic number.

115834678248960 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 115834678248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257161780592640).

115834678248960 is an abundant number, since it is smaller than the sum of its proper divisors (398488882936320).

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

115834678248960 is an equidigital number, since it uses as much as digits as its factorization.

115834678248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 115834678248960 in words is "one hundred fifteen trillion, eight hundred thirty-four billion, six hundred seventy-eight million, two hundred forty-eight thousand, nine hundred sixty".