10501560416160 has 768 divisors, whose sum is σ = 40384289594880. Its totient is φ = 2527642091520.

The previous prime is 10501560416093. The next prime is 10501560416167. The reversal of 10501560416160 is 6161406510501.

10501560416160 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 560 + 41 + 6 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×10501560416160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10501560416167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6337694052 + ... + 6337695708.

It is an arithmetic number, because the mean of its divisors is an integer number (52583710410).

Almost surely, 2^{10501560416160} is an apocalyptic number.

10501560416160 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 10501560416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192144797440).

10501560416160 is an abundant number, since it is smaller than the sum of its proper divisors (29882729178720).

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

10501560416160 is a wasteful number, since it uses less digits than its factorization.

10501560416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 10501560416160 its reverse (6161406510501), we get a palindrome (16662966926661).

The spelling of 10501560416160 in words is "ten trillion, five hundred one billion, five hundred sixty million, four hundred sixteen thousand, one hundred sixty".