10405163516160 has 432 divisors, whose sum is σ = 38667560500800. Its totient is φ = 2377675948032.

The previous prime is 10405163516129. The next prime is 10405163516171. The reversal of 10405163516160 is 6161536150401.

It is a super-2 number, since 2×10405163516160² (a number of 27 digits) contains 22 as substring.

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, 1200268306 + ... + 1200276974.

It is an arithmetic number, because the mean of its divisors is an integer number (89508241900).

Almost surely, 2^{10405163516160} is an apocalyptic number.

10405163516160 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 10405163516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19333780250400).

10405163516160 is an abundant number, since it is smaller than the sum of its proper divisors (28262396984640).

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

10405163516160 is an equidigital number, since it uses as much as digits as its factorization.

10405163516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15086 (or 15065 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 10405163516160 its reverse (6161536150401), we get a palindrome (16566699666561).

The spelling of 10405163516160 in words is "ten trillion, four hundred five billion, one hundred sixty-three million, five hundred sixteen thousand, one hundred sixty".