116577754240000 has 220 divisors, whose sum is σ = 301250594967300. Its totient is φ = 45023125504000.

The previous prime is 116577754239911. The next prime is 116577754240001. The reversal of 116577754240000 is 42457775611.

It can be written as a sum of positive squares in 10 ways, for example, as 114026859728896 + 2550894511104 = 10678336^2 + 1597152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116577754240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15419436 + ... + 21700564.

It is an arithmetic number, because the mean of its divisors is an integer number (1369320886215).

Almost surely, 2^{116577754240000} is an apocalyptic number.

116577754240000 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 116577754240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150625297483650).

116577754240000 is an abundant number, since it is smaller than the sum of its proper divisors (184672840727300).

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

116577754240000 is an frugal number, since it uses more digits than its factorization.

116577754240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281198 (or 6281165 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 116577754240000 in words is "one hundred sixteen trillion, five hundred seventy-seven billion, seven hundred fifty-four million, two hundred forty thousand".