115814765818080 has 672 divisors, whose sum is σ = 483959155857408. Its totient is φ = 25618007116800.

The previous prime is 115814765818079. The next prime is 115814765818099. The reversal of 115814765818080 is 80818567418511.

115814765818080 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 1 + 47 + 6 + 581 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 115814765817999 and 115814765818017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23023035 + ... + 27598725.

It is an arithmetic number, because the mean of its divisors is an integer number (720177315264).

Almost surely, 2^{115814765818080} is an apocalyptic number.

115814765818080 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 115814765818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241979577928704).

115814765818080 is an abundant number, since it is smaller than the sum of its proper divisors (368144390039328).

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

115814765818080 is an equidigital number, since it uses as much as digits as its factorization.

115814765818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575762 (or 4575739 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 63.

The spelling of 115814765818080 in words is "one hundred fifteen trillion, eight hundred fourteen billion, seven hundred sixty-five million, eight hundred eighteen thousand, eighty".