115106064000 has 256 divisors, whose sum is σ = 385370818560. Its totient is φ = 30389760000.

The previous prime is 115106063923. The next prime is 115106064013. The reversal of 115106064000 is 460601511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4836129 + ... + 4859871.

It is an arithmetic number, because the mean of its divisors is an integer number (1505354760).

Almost surely, 2^115106064000 is an apocalyptic number.

115106064000 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 115106064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192685409280).

115106064000 is an abundant number, since it is smaller than the sum of its proper divisors (270264754560).

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

115106064000 is a wasteful number, since it uses less digits than its factorization.

115106064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23876 (or 23854 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 115106064000 its reverse (460601511), we get a palindrome (115566665511).

The spelling of 115106064000 in words is "one hundred fifteen billion, one hundred six million, sixty-four thousand".