10807017226560 has 784 divisors, whose sum is σ = 41259308796432. Its totient is φ = 2685394944000.

The previous prime is 10807017226553. The next prime is 10807017226609. The reversal of 10807017226560 is 6562271070801.

10807017226560 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 70 + 17 + 2 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 228078835776 + 10578938390784 = 477576^2 + 3252528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 400528270 + ... + 400555250.

Almost surely, 2^{10807017226560} is an apocalyptic number.

10807017226560 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 10807017226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629654398216).

10807017226560 is an abundant number, since it is smaller than the sum of its proper divisors (30452291569872).

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

10807017226560 is a wasteful number, since it uses less digits than its factorization.

10807017226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27134 (or 27109 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10807017226560 in words is "ten trillion, eight hundred seven billion, seventeen million, two hundred twenty-six thousand, five hundred sixty".