10604705381424 has 720 divisors, whose sum is σ = 39883248737280. Its totient is φ = 2553930362880.

The previous prime is 10604705381321. The next prime is 10604705381429. The reversal of 10604705381424 is 42418350740601.

10604705381424 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 70 + 538 + 1 + 42 + 4 = 666.

It is a super-2 number, since 2×10604705381424² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10604705381424.

It is not an unprimeable number, because it can be changed into a prime (10604705381429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188101912 + ... + 188158280.

It is an arithmetic number, because the mean of its divisors is an integer number (55393401024).

Almost surely, 2^{10604705381424} is an apocalyptic number.

10604705381424 is a gapful number since it is divisible by the number (14) 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 10604705381424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19941624368640).

10604705381424 is an abundant number, since it is smaller than the sum of its proper divisors (29278543355856).

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

10604705381424 is a wasteful number, since it uses less digits than its factorization.

10604705381424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56486 (or 56458 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10604705381424 in words is "ten trillion, six hundred four billion, seven hundred five million, three hundred eighty-one thousand, four hundred twenty-four".