115365665252000 has 288 divisors, whose sum is σ = 294385550135040. Its totient is φ = 44430441753600.

The previous prime is 115365665251999. The next prime is 115365665252039. The reversal of 115365665252000 is 252566563511.

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 47 ways as a sum of consecutive naturals, for example, 1207628237 + ... + 1207723763.

It is an arithmetic number, because the mean of its divisors is an integer number (1022172049080).

Almost surely, 2^{115365665252000} is an apocalyptic number.

115365665252000 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 115365665252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147192775067520).

115365665252000 is an abundant number, since it is smaller than the sum of its proper divisors (179019884883040).

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

115365665252000 is an equidigital number, since it uses as much as digits as its factorization.

115365665252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95969 (or 95922 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 47.

The spelling of 115365665252000 in words is "one hundred fifteen trillion, three hundred sixty-five billion, six hundred sixty-five million, two hundred fifty-two thousand".