115564326184080 has 640 divisors, whose sum is σ = 425725556106240. Its totient is φ = 28711735787520.

The previous prime is 115564326184049. The next prime is 115564326184103. The reversal of 115564326184080 is 80481623465511.

115564326184080 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 64 + 326 + 184 + 0 + 80 = 666.

It is a super-2 number, since 2×115564326184080² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14678559024 + ... + 14678566896.

It is an arithmetic number, because the mean of its divisors is an integer number (665196181416).

Almost surely, 2^{115564326184080} is an apocalyptic number.

115564326184080 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 115564326184080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212862778053120).

115564326184080 is an abundant number, since it is smaller than the sum of its proper divisors (310161229922160).

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

115564326184080 is a wasteful number, since it uses less digits than its factorization.

115564326184080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 115564326184080 in words is "one hundred fifteen trillion, five hundred sixty-four billion, three hundred twenty-six million, one hundred eighty-four thousand, eighty".