116338270720 has 320 divisors, whose sum is σ = 336755232000. Its totient is φ = 37654364160.

The previous prime is 116338270717. The next prime is 116338270823. The reversal of 116338270720 is 27072833611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152875140 + ... + 152875900.

It is an arithmetic number, because the mean of its divisors is an integer number (1052360100).

Almost surely, 2^116338270720 is an apocalyptic number.

116338270720 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 116338270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168377616000).

116338270720 is an abundant number, since it is smaller than the sum of its proper divisors (220416961280).

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

116338270720 is an equidigital number, since it uses as much as digits as its factorization.

116338270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 116338270720 in words is "one hundred sixteen billion, three hundred thirty-eight million, two hundred seventy thousand, seven hundred twenty".