10684558768422 has 1152 divisors, whose sum is σ = 31623532351488. Its totient is φ = 2344425431040.

The previous prime is 10684558768349. The next prime is 10684558768423. The reversal of 10684558768422 is 22486785548601.

It is a happy number.

It is a super-2 number, since 2×10684558768422² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684558768423) 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 575 ways as a sum of consecutive naturals, for example, 54236338828 + ... + 54236339024.

It is an arithmetic number, because the mean of its divisors is an integer number (27450982944).

Almost surely, 2^{10684558768422} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10684558768422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811766175744).

10684558768422 is an abundant number, since it is smaller than the sum of its proper divisors (20938973583066).

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

10684558768422 is a wasteful number, since it uses less digits than its factorization.

10684558768422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 66.

The spelling of 10684558768422 in words is "ten trillion, six hundred eighty-four billion, five hundred fifty-eight million, seven hundred sixty-eight thousand, four hundred twenty-two".