115966998864000 has 1344 divisors, whose sum is σ = 456252639949080. Its totient is φ = 29295862272000.

The previous prime is 115966998863977. The next prime is 115966998864047. The reversal of 115966998864000 is 468899669511.

115966998864000 is a `hidden beast` number, since 1 + 1 + 59 + 6 + 6 + 9 + 98 + 86 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28948101558336 + 87018897305664 = 5380344^2 + 9328392^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 115966998864000.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4210690230 + ... + 4210717770.

Almost surely, 2^{115966998864000} is an apocalyptic number.

115966998864000 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 115966998864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228126319974540).

115966998864000 is an abundant number, since it is smaller than the sum of its proper divisors (340285641085080).

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

115966998864000 is an frugal number, since it uses more digits than its factorization.

115966998864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27626 (or 27570 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 115966998864000 in words is "one hundred fifteen trillion, nine hundred sixty-six billion, nine hundred ninety-eight million, eight hundred sixty-four thousand".