10865957760 has 768 divisors, whose sum is σ = 46005019200. Its totient is φ = 2415329280.

The previous prime is 10865957741. The next prime is 10865957803. The reversal of 10865957760 is 6775956801.

10865957760 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 5 + 9 + 577 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10865957697 and 10865957706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34715364 + ... + 34715676.

Almost surely, 2^10865957760 is an apocalyptic number.

10865957760 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 10865957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23002509600).

10865957760 is an abundant number, since it is smaller than the sum of its proper divisors (35139061440).

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

10865957760 is a wasteful number, since it uses less digits than its factorization.

10865957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 10865957760 in words is "ten billion, eight hundred sixty-five million, nine hundred fifty-seven thousand, seven hundred sixty".