116705414057540 has 384 divisors, whose sum is σ = 313162892292096. Its totient is φ = 35480510208000.

The previous prime is 116705414057497. The next prime is 116705414057543. The reversal of 116705414057540 is 45750414507611.

It is not an unprimeable number, because it can be changed into a prime (116705414057543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23467806494 + ... + 23467811466.

It is an arithmetic number, because the mean of its divisors is an integer number (815528365344).

Almost surely, 2^{116705414057540} is an apocalyptic number.

116705414057540 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 116705414057540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156581446146048).

116705414057540 is an abundant number, since it is smaller than the sum of its proper divisors (196457478234556).

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

116705414057540 is a wasteful number, since it uses less digits than its factorization.

116705414057540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7099 (or 7097 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 50.

The spelling of 116705414057540 in words is "one hundred sixteen trillion, seven hundred five billion, four hundred fourteen million, fifty-seven thousand, five hundred forty".