1101680348160 has 352 divisors, whose sum is σ = 4054121164800. Its totient is φ = 250118995968.

The previous prime is 1101680348057. The next prime is 1101680348173. The reversal of 1101680348160 is 618430861011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15986097 + ... + 16054863.

Almost surely, 2^{1101680348160} is an apocalyptic number.

1101680348160 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 1101680348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027060582400).

1101680348160 is an abundant number, since it is smaller than the sum of its proper divisors (2952440816640).

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

1101680348160 is a wasteful number, since it uses less digits than its factorization.

1101680348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68951 (or 68933 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 1101680348160 in words is "one trillion, one hundred one billion, six hundred eighty million, three hundred forty-eight thousand, one hundred sixty".