10681546080096 has 144 divisors (see below), whose sum is σ = 30620916877824. Its totient is φ = 3531776919552.

The previous prime is 10681546080083. The next prime is 10681546080151. The reversal of 10681546080096 is 69008064518601.

10681546080096 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 546 + 0 + 8 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10681546080096² (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 203226556 + ... + 203279108.

It is an arithmetic number, because the mean of its divisors is an integer number (212645256096).

Almost surely, 2^{10681546080096} is an apocalyptic number.

10681546080096 is a gapful number since it is divisible by the number (16) 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 10681546080096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310458438912).

10681546080096 is an abundant number, since it is smaller than the sum of its proper divisors (19939370797728).

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

10681546080096 is a wasteful number, since it uses less digits than its factorization.

10681546080096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58253 (or 58242 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10681546080096 in words is "ten trillion, six hundred eighty-one billion, five hundred forty-six million, eighty thousand, ninety-six".