10684710729000 has 3456 divisors, whose sum is σ = 49729898574720. Its totient is φ = 2121541632000.

The previous prime is 10684710728999. The next prime is 10684710729083. The reversal of 10684710729000 is 92701748601.

It is a happy number.

10684710729000 is a `hidden beast` number, since 106 + 8 + 471 + 0 + 72 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10684710729000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 863 ways as a sum of consecutive naturals, for example, 110151656952 + ... + 110151657048.

It is an arithmetic number, because the mean of its divisors is an integer number (14389438245).

Almost surely, 2^{10684710729000} is an apocalyptic number.

10684710729000 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 10684710729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864949287360).

10684710729000 is an abundant number, since it is smaller than the sum of its proper divisors (39045187845720).

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

10684710729000 is a wasteful number, since it uses less digits than its factorization.

10684710729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10684710729000 in words is "ten trillion, six hundred eighty-four billion, seven hundred ten million, seven hundred twenty-nine thousand".