115269045166080 has 2688 divisors, whose sum is σ = 466153714091520. Its totient is φ = 27192042455040.

The previous prime is 115269045166073. The next prime is 115269045166103. The reversal of 115269045166080 is 80661540962511.

It is a happy number.

115269045166080 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 69 + 0 + 4 + 516 + 60 + 8 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1119116943309 + ... + 1119116943411.

It is an arithmetic number, because the mean of its divisors is an integer number (173420280540).

Almost surely, 2^{115269045166080} is an apocalyptic number.

115269045166080 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 115269045166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233076857045760).

115269045166080 is an abundant number, since it is smaller than the sum of its proper divisors (350884668925440).

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

115269045166080 is an frugal number, since it uses more digits than its factorization.

115269045166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 115269045166080 in words is "one hundred fifteen trillion, two hundred sixty-nine billion, forty-five million, one hundred sixty-six thousand, eighty".