10684135818720 has 576 divisors, whose sum is σ = 45609033585024. Its totient is φ = 2217278914560.

The previous prime is 10684135818581. The next prime is 10684135818731. The reversal of 10684135818720 is 2781853148601.

10684135818720 is a `hidden beast` number, since 10 + 6 + 8 + 41 + 3 + 581 + 8 + 7 + 2 + 0 = 666.

10684135818720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10684135818720² (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 95 ways as a sum of consecutive naturals, for example, 7325134 + ... + 8661746.

It is an arithmetic number, because the mean of its divisors is an integer number (79182349974).

Almost surely, 2^{10684135818720} is an apocalyptic number.

10684135818720 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 10684135818720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804516792512).

10684135818720 is an abundant number, since it is smaller than the sum of its proper divisors (34924897766304).

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

10684135818720 is a wasteful number, since it uses less digits than its factorization.

10684135818720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336715 (or 1336704 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10684135818720 in words is "ten trillion, six hundred eighty-four billion, one hundred thirty-five million, eight hundred eighteen thousand, seven hundred twenty".