115656517000 has 128 divisors (see below), whose sum is σ = 273887827200. Its totient is φ = 45709440000.

The previous prime is 115656516893. The next prime is 115656517001. The reversal of 115656517000 is 715656511.

115656517000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (115656517001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40565575 + ... + 40568425.

It is an arithmetic number, because the mean of its divisors is an integer number (2139748650).

Almost surely, 2^115656517000 is an apocalyptic number.

115656517000 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 115656517000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136943913600).

115656517000 is an abundant number, since it is smaller than the sum of its proper divisors (158231310200).

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

115656517000 is a wasteful number, since it uses less digits than its factorization.

115656517000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 115656517000 in words is "one hundred fifteen billion, six hundred fifty-six million, five hundred seventeen thousand".