116207616000 has 768 divisors, whose sum is σ = 452204082720. Its totient is φ = 26424115200.

The previous prime is 116207615969. The next prime is 116207616001. The reversal of 116207616000 is 616702611.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116207616001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602111904 + ... + 602112096.

Almost surely, 2^116207616000 is an apocalyptic number.

116207616000 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 116207616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226102041360).

116207616000 is an abundant number, since it is smaller than the sum of its proper divisors (335996466720).

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

116207616000 is an frugal number, since it uses more digits than its factorization.

116207616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 116207616000 in words is "one hundred sixteen billion, two hundred seven million, six hundred sixteen thousand".