10765442160 has 640 divisors, whose sum is σ = 42567275520. Its totient is φ = 2477260800.

The previous prime is 10765442159. The next prime is 10765442197. The reversal of 10765442160 is 6124456701.

10765442160 is a `hidden beast` number, since 107 + 6 + 544 + 2 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41888752 + ... + 41889008.

It is an arithmetic number, because the mean of its divisors is an integer number (66511368).

Almost surely, 2^10765442160 is an apocalyptic number.

10765442160 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 10765442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283637760).

10765442160 is an abundant number, since it is smaller than the sum of its proper divisors (31801833360).

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

10765442160 is a wasteful number, since it uses less digits than its factorization.

10765442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 10765442160 its reverse (6124456701), we get a palindrome (16889898861).

The spelling of 10765442160 in words is "ten billion, seven hundred sixty-five million, four hundred forty-two thousand, one hundred sixty".