10065543263160 has 768 divisors, whose sum is σ = 38482465996800. Its totient is φ = 2061341568000.

The previous prime is 10065543263137. The next prime is 10065543263203. The reversal of 10065543263160 is 6136234556001.

It is a super-2 number, since 2×10065543263160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7796702115 + ... + 7796703405.

It is an arithmetic number, because the mean of its divisors is an integer number (50107377600).

Almost surely, 2^{10065543263160} is an apocalyptic number.

10065543263160 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 10065543263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19241232998400).

10065543263160 is an abundant number, since it is smaller than the sum of its proper divisors (28416922733640).

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

10065543263160 is a wasteful number, since it uses less digits than its factorization.

10065543263160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 10065543263160 in words is "ten trillion, sixty-five billion, five hundred forty-three million, two hundred sixty-three thousand, one hundred sixty".