115005605616000 has 768 divisors, whose sum is σ = 450917616614400. Its totient is φ = 27858055680000.

The previous prime is 115005605615933. The next prime is 115005605616001. The reversal of 115005605616000 is 616506500511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115005605616001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2044915881 + ... + 2044972119.

It is an arithmetic number, because the mean of its divisors is an integer number (587132313300).

Almost surely, 2^{115005605616000} is an apocalyptic number.

115005605616000 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 115005605616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225458808307200).

115005605616000 is an abundant number, since it is smaller than the sum of its proper divisors (335912010998400).

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

115005605616000 is a wasteful number, since it uses less digits than its factorization.

115005605616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57576 (or 57551 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 115005605616000 in words is "one hundred fifteen trillion, five billion, six hundred five million, six hundred sixteen thousand".