10681355230002 has 96 divisors (see below), whose sum is σ = 24059009707200. Its totient is φ = 3420743969664.

The previous prime is 10681355229949. The next prime is 10681355230003. The reversal of 10681355230002 is 20003255318601.

10681355230002 is a `hidden beast` number, since 1 + 0 + 68 + 13 + 552 + 30 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×10681355230002² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681355230003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 236609949 + ... + 236655087.

It is an arithmetic number, because the mean of its divisors is an integer number (250614684450).

Almost surely, 2^{10681355230002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681355230002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029504853600).

10681355230002 is an abundant number, since it is smaller than the sum of its proper divisors (13377654477198).

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

10681355230002 is a wasteful number, since it uses less digits than its factorization.

10681355230002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47400 (or 47397 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10681355230002 in words is "ten trillion, six hundred eighty-one billion, three hundred fifty-five million, two hundred thirty thousand, two".