110680211016000 has 2688 divisors, whose sum is σ = 451234155939840. Its totient is φ = 25729228800000.

The previous prime is 110680211015993. The next prime is 110680211016013. The reversal of 110680211016000 is 610112086011.

It is a super-2 number, since 2×110680211016000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 391096151859 + ... + 391096152141.

It is an arithmetic number, because the mean of its divisors is an integer number (167869849680).

Almost surely, 2^{110680211016000} is an apocalyptic number.

110680211016000 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 110680211016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225617077969920).

110680211016000 is an abundant number, since it is smaller than the sum of its proper divisors (340553944923840).

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

110680211016000 is a wasteful number, since it uses less digits than its factorization.

110680211016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 110680211016000 in words is "one hundred ten trillion, six hundred eighty billion, two hundred eleven million, sixteen thousand".