116004292514880 has 2016 divisors, whose sum is σ = 499607889580800. Its totient is φ = 22642824314880.

The previous prime is 116004292514861. The next prime is 116004292514881. The reversal of 116004292514880 is 88415292400611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (116004292514881) 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 287 ways as a sum of consecutive naturals, for example, 74409423541 + ... + 74409425099.

It is an arithmetic number, because the mean of its divisors is an integer number (247821373800).

Almost surely, 2^{116004292514880} is an apocalyptic number.

116004292514880 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 116004292514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249803944790400).

116004292514880 is an abundant number, since it is smaller than the sum of its proper divisors (383603597065920).

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

116004292514880 is a wasteful number, since it uses less digits than its factorization.

116004292514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 116004292514880 in words is "one hundred sixteen trillion, four billion, two hundred ninety-two million, five hundred fourteen thousand, eight hundred eighty".