10704883857408 has 720 divisors, whose sum is σ = 34775900359200. Its totient is φ = 3279327068160.

The previous prime is 10704883857401. The next prime is 10704883857419. The reversal of 10704883857408 is 80475838840701.

10704883857408 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 488 + 3 + 85 + 74 + 0 + 8 = 666.

It is a super-2 number, since 2×10704883857408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10704883857401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7597503808 + ... + 7597505216.

It is an arithmetic number, because the mean of its divisors is an integer number (48299861610).

Almost surely, 2^{10704883857408} is an apocalyptic number.

10704883857408 is a gapful number since it is divisible by the number (18) 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 10704883857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387950179600).

10704883857408 is an abundant number, since it is smaller than the sum of its proper divisors (24071016501792).

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

10704883857408 is a wasteful number, since it uses less digits than its factorization.

10704883857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 10704883857408 in words is "ten trillion, seven hundred four billion, eight hundred eighty-three million, eight hundred fifty-seven thousand, four hundred eight".