10682422449600 has 336 divisors, whose sum is σ = 38489989161600. Its totient is φ = 2572295884800.

The previous prime is 10682422449571. The next prime is 10682422449689. The reversal of 10682422449600 is 694422428601.

It is a super-2 number, since 2×10682422449600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10682422449600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7188279 + ... + 8546121.

Almost surely, 2^{10682422449600} is an apocalyptic number.

10682422449600 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 10682422449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19244994580800).

10682422449600 is an abundant number, since it is smaller than the sum of its proper divisors (27807566712000).

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

10682422449600 is a wasteful number, since it uses less digits than its factorization.

10682422449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358028 (or 1358013 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 10682422449600 in words is "ten trillion, six hundred eighty-two billion, four hundred twenty-two million, four hundred forty-nine thousand, six hundred".