115668000000 has 1512 divisors, whose sum is σ = 523129553856. Its totient is φ = 24883200000.

The previous prime is 115667999999. The next prime is 115668000013. The reversal of 115668000000 is 866511.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6803999992 + ... + 6804000008.

Almost surely, 2^115668000000 is an apocalyptic number.

115668000000 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 115668000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261564776928).

115668000000 is an abundant number, since it is smaller than the sum of its proper divisors (407461553856).

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

115668000000 is an frugal number, since it uses more digits than its factorization.

115668000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 115668000000 its reverse (866511), we get a palindrome (115668866511).

The spelling of 115668000000 in words is "one hundred fifteen billion, six hundred sixty-eight million", and thus it is an aban number.