115179744960 has 2016 divisors, whose sum is σ = 528685597440. Its totient is φ = 23702740992.

The previous prime is 115179744949. The next prime is 115179744991. The reversal of 115179744960 is 69447971511.

It is a happy number.

115179744960 is a `hidden beast` number, since 1 + 1 + 51 + 7 + 97 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115179744897 and 115179744906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2678598699 + ... + 2678598741.

It is an arithmetic number, because the mean of its divisors is an integer number (262244840).

Almost surely, 2^115179744960 is an apocalyptic number.

115179744960 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 115179744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264342798720).

115179744960 is an abundant number, since it is smaller than the sum of its proper divisors (413505852480).

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

115179744960 is a wasteful number, since it uses less digits than its factorization.

115179744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 115179744960 in words is "one hundred fifteen billion, one hundred seventy-nine million, seven hundred forty-four thousand, nine hundred sixty".