115740064000000 has 672 divisors, whose sum is σ = 320979907029600. Its totient is φ = 41366528000000.

The previous prime is 115740063999971. The next prime is 115740064000037. The reversal of 115740064000000 is 460047511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20767997214 + ... + 20768002786.

It is an arithmetic number, because the mean of its divisors is an integer number (477648671175).

Almost surely, 2^{115740064000000} is an apocalyptic number.

115740064000000 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 115740064000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160489953514800).

115740064000000 is an abundant number, since it is smaller than the sum of its proper divisors (205239843029600).

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

115740064000000 is an frugal number, since it uses more digits than its factorization.

115740064000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 115740064000000 in words is "one hundred fifteen trillion, seven hundred forty billion, sixty-four million", and thus it is an aban number.