116767828128 has 192 divisors, whose sum is σ = 371224062720. Its totient is φ = 31425945600.

The previous prime is 116767828127. The next prime is 116767828147. The reversal of 116767828128 is 821828767611.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116767828127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725938 + ... + 872078.

It is an arithmetic number, because the mean of its divisors is an integer number (1933458660).

Almost surely, 2^116767828128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116767828128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185612031360).

116767828128 is an abundant number, since it is smaller than the sum of its proper divisors (254456234592).

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

116767828128 is a wasteful number, since it uses less digits than its factorization.

116767828128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146231 (or 146223 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 57.

The spelling of 116767828128 in words is "one hundred sixteen billion, seven hundred sixty-seven million, eight hundred twenty-eight thousand, one hundred twenty-eight".