115613671680 has 720 divisors, whose sum is σ = 460046383104. Its totient is φ = 27530772480.

The previous prime is 115613671651. The next prime is 115613671681. The reversal of 115613671680 is 86176316511.

115613671680 is a `hidden beast` number, since 1 + 1 + 561 + 3 + 6 + 7 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (115613671681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41781657 + ... + 41784423.

Almost surely, 2^115613671680 is an apocalyptic number.

115613671680 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 115613671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230023191552).

115613671680 is an abundant number, since it is smaller than the sum of its proper divisors (344432711424).

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

115613671680 is a wasteful number, since it uses less digits than its factorization.

115613671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 115613671680 in words is "one hundred fifteen billion, six hundred thirteen million, six hundred seventy-one thousand, six hundred eighty".