116227567872 has 864 divisors, whose sum is σ = 398589811200. Its totient is φ = 33331544064.

The previous prime is 116227567871. The next prime is 116227567921. The reversal of 116227567872 is 278765722611.

116227567872 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 2 + 7 + 567 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (116227567871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1592158428 + ... + 1592158500.

It is an arithmetic number, because the mean of its divisors is an integer number (461330800).

Almost surely, 2^116227567872 is an apocalyptic number.

116227567872 is a gapful number since it is divisible by the number (12) 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 116227567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199294905600).

116227567872 is an abundant number, since it is smaller than the sum of its proper divisors (282362243328).

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

116227567872 is a wasteful number, since it uses less digits than its factorization.

116227567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 116227567872 in words is "one hundred sixteen billion, two hundred twenty-seven million, five hundred sixty-seven thousand, eight hundred seventy-two".