10560784126464 has 800 divisors, whose sum is σ = 37893973005504. Its totient is φ = 2885296619520.

The previous prime is 10560784126411. The next prime is 10560784126489. The reversal of 10560784126464 is 46462148706501.

10560784126464 is a `hidden beast` number, since 1 + 0 + 5 + 607 + 8 + 4 + 1 + 26 + 4 + 6 + 4 = 666.

It is a super-3 number, since 3×10560784126464³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10560784126464.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 254990622 + ... + 255032034.

Almost surely, 2^{10560784126464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10560784126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946986502752).

10560784126464 is an abundant number, since it is smaller than the sum of its proper divisors (27333188879040).

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

10560784126464 is a wasteful number, since it uses less digits than its factorization.

10560784126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41510 (or 41485 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 10560784126464 in words is "ten trillion, five hundred sixty billion, seven hundred eighty-four million, one hundred twenty-six thousand, four hundred sixty-four".