116581185957240 has 512 divisors, whose sum is σ = 398741616000000. Its totient is φ = 30287941355520.

The previous prime is 116581185957217. The next prime is 116581185957281. The reversal of 116581185957240 is 42759581185611.

116581185957240 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 8 + 1 + 1 + 8 + 59 + 572 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3379245511 + ... + 3379280009.

It is an arithmetic number, because the mean of its divisors is an integer number (778792218750).

Almost surely, 2^{116581185957240} is an apocalyptic number.

116581185957240 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 116581185957240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199370808000000).

116581185957240 is an abundant number, since it is smaller than the sum of its proper divisors (282160430042760).

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

116581185957240 is a wasteful number, since it uses less digits than its factorization.

116581185957240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35052 (or 35042 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 63.

The spelling of 116581185957240 in words is "one hundred sixteen trillion, five hundred eighty-one billion, one hundred eighty-five million, nine hundred fifty-seven thousand, two hundred forty".