116366098590720 has 1760 divisors, whose sum is σ = 462705630266880. Its totient is φ = 27729431101440.

The previous prime is 116366098590667. The next prime is 116366098590737. The reversal of 116366098590720 is 27095890663611.

116366098590720 is a `hidden beast` number, since 1 + 1 + 6 + 36 + 6 + 0 + 9 + 8 + 590 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88222970221 + ... + 88222971539.

It is an arithmetic number, because the mean of its divisors is an integer number (262900926288).

Almost surely, 2^{116366098590720} is an apocalyptic number.

116366098590720 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 116366098590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231352815133440).

116366098590720 is an abundant number, since it is smaller than the sum of its proper divisors (346339531676160).

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

116366098590720 is a wasteful number, since it uses less digits than its factorization.

116366098590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 116366098590720 in words is "one hundred sixteen trillion, three hundred sixty-six billion, ninety-eight million, five hundred ninety thousand, seven hundred twenty".