10686825172072 has 32 divisors (see below), whose sum is σ = 23176247371200. Its totient is φ = 4524886387584.

The previous prime is 10686825172021. The next prime is 10686825172159. The reversal of 10686825172072 is 27027152868601.

It is a super-2 number, since 2×10686825172072² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149610797 + ... + 1149620092.

It is an arithmetic number, because the mean of its divisors is an integer number (724257730350).

Almost surely, 2^{10686825172072} is an apocalyptic number.

It is an amenable number.

10686825172072 is an abundant number, since it is smaller than the sum of its proper divisors (12489422199128).

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

10686825172072 is a wasteful number, since it uses less digits than its factorization.

10686825172072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299230985 (or 2299230981 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 10686825172072 in words is "ten trillion, six hundred eighty-six billion, eight hundred twenty-five million, one hundred seventy-two thousand, seventy-two".