116627257728 has 320 divisors, whose sum is σ = 365117829120. Its totient is φ = 36883123200.

The previous prime is 116627257717. The next prime is 116627257777. The reversal of 116627257728 is 827752726611.

116627257728 is a `hidden beast` number, since 1 + 1 + 6 + 62 + 7 + 2 + 577 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30283003 + ... + 30286853.

It is an arithmetic number, because the mean of its divisors is an integer number (1140993216).

Almost surely, 2^116627257728 is an apocalyptic number.

116627257728 is a gapful number since it is divisible by the number (18) 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 116627257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182558914560).

116627257728 is an abundant number, since it is smaller than the sum of its proper divisors (248490571392).

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

116627257728 is a wasteful number, since it uses less digits than its factorization.

116627257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4006 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 116627257728 in words is "one hundred sixteen billion, six hundred twenty-seven million, two hundred fifty-seven thousand, seven hundred twenty-eight".