10684516200680 has 64 divisors (see below), whose sum is σ = 27475529667840. Its totient is φ = 3663121439232.

The previous prime is 10684516200647. The next prime is 10684516200703. The reversal of 10684516200680 is 8600261548601.

It is a super-2 number, since 2×10684516200680² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6671444 + ... + 8116476.

It is an arithmetic number, because the mean of its divisors is an integer number (429305151060).

Almost surely, 2^{10684516200680} is an apocalyptic number.

10684516200680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10684516200680 is an abundant number, since it is smaller than the sum of its proper divisors (16791013467160).

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

10684516200680 is a wasteful number, since it uses less digits than its factorization.

10684516200680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471458 (or 1471454 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 10684516200680 in words is "ten trillion, six hundred eighty-four billion, five hundred sixteen million, two hundred thousand, six hundred eighty".