116527126300 has 72 divisors (see below), whose sum is σ = 272966122800. Its totient is φ = 42922513920.

The previous prime is 116527126283. The next prime is 116527126307. The reversal of 116527126300 is 3621725611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116527126307) 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 23 ways as a sum of consecutive naturals, for example, 437736 + ... + 651664.

It is an arithmetic number, because the mean of its divisors is an integer number (3791196150).

Almost surely, 2^116527126300 is an apocalyptic number.

116527126300 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 116527126300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136483061400).

116527126300 is an abundant number, since it is smaller than the sum of its proper divisors (156438996500).

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

116527126300 is a wasteful number, since it uses less digits than its factorization.

116527126300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214375 (or 214368 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 116527126300 in words is "one hundred sixteen billion, five hundred twenty-seven million, one hundred twenty-six thousand, three hundred".