116067417600 has 240 divisors, whose sum is σ = 384343293312. Its totient is φ = 30876917760.

The previous prime is 116067417589. The next prime is 116067417629. The reversal of 116067417600 is 6714760611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17007789 + ... + 17014611.

Almost surely, 2^116067417600 is an apocalyptic number.

116067417600 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 116067417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192171646656).

116067417600 is an abundant number, since it is smaller than the sum of its proper divisors (268275875712).

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

116067417600 is an equidigital number, since it uses as much as digits as its factorization.

116067417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 116067417600 in words is "one hundred sixteen billion, sixty-seven million, four hundred seventeen thousand, six hundred".