116578121856 has 768 divisors, whose sum is σ = 399779942400. Its totient is φ = 29889699840.

The previous prime is 116578121827. The next prime is 116578121941. The reversal of 116578121856 is 658121875611.

It is a junction number, because it is equal to n+sod(n) for n = 116578121799 and 116578121808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 742535730 + ... + 742535886.

It is an arithmetic number, because the mean of its divisors is an integer number (520546800).

Almost surely, 2^116578121856 is an apocalyptic number.

116578121856 is a gapful number since it is divisible by the number (16) 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 116578121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199889971200).

116578121856 is an abundant number, since it is smaller than the sum of its proper divisors (283201820544).

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

116578121856 is a wasteful number, since it uses less digits than its factorization.

116578121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its digits is 806400, while the sum is 51.

The spelling of 116578121856 in words is "one hundred sixteen billion, five hundred seventy-eight million, one hundred twenty-one thousand, eight hundred fifty-six".