116611887240576 has 3072 divisors, whose sum is σ = 465501966336000. Its totient is φ = 28392497602560.

The previous prime is 116611887240571. The next prime is 116611887240617. The reversal of 116611887240576 is 675042788116611.

It is a happy number.

116611887240576 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 18 + 8 + 7 + 2 + 40 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116611887240571) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 270561223081 + ... + 270561223511.

It is an arithmetic number, because the mean of its divisors is an integer number (151530588000).

Almost surely, 2^{116611887240576} is an apocalyptic number.

116611887240576 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 116611887240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232750983168000).

116611887240576 is an abundant number, since it is smaller than the sum of its proper divisors (348890079095424).

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

116611887240576 is an equidigital number, since it uses as much as digits as its factorization.

116611887240576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 116611887240576 in words is "one hundred sixteen trillion, six hundred eleven billion, eight hundred eighty-seven million, two hundred forty thousand, five hundred seventy-six".