116516624730000 has 800 divisors, whose sum is σ = 414251449603200. Its totient is φ = 27977256960000.

The previous prime is 116516624729933. The next prime is 116516624730013. The reversal of 116516624730000 is 37426615611.

It is a super-2 number, since 2×116516624730000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18340406824 + ... + 18340413176.

It is an arithmetic number, because the mean of its divisors is an integer number (517814312004).

Almost surely, 2^{116516624730000} is an apocalyptic number.

116516624730000 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 116516624730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207125724801600).

116516624730000 is an abundant number, since it is smaller than the sum of its proper divisors (297734824873200).

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

116516624730000 is a wasteful number, since it uses less digits than its factorization.

116516624730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 116516624730000 in words is "one hundred sixteen trillion, five hundred sixteen billion, six hundred twenty-four million, seven hundred thirty thousand".