116070073072128 has 2560 divisors, whose sum is σ = 445011874560000. Its totient is φ = 30086679232512.

The previous prime is 116070073072067. The next prime is 116070073072133. The reversal of 116070073072128 is 821270370070611.

116070073072128 is a `hidden beast` number, since 1 + 1 + 60 + 70 + 0 + 7 + 307 + 212 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 189347590350 + ... + 189347590962.

It is an arithmetic number, because the mean of its divisors is an integer number (173832763500).

Almost surely, 2^{116070073072128} is an apocalyptic number.

116070073072128 is a gapful number since it is divisible by the number (18) 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 116070073072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222505937280000).

116070073072128 is an abundant number, since it is smaller than the sum of its proper divisors (328941801487872).

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

116070073072128 is an frugal number, since it uses more digits than its factorization.

116070073072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 116070073072128 in words is "one hundred sixteen trillion, seventy billion, seventy-three million, seventy-two thousand, one hundred twenty-eight".