10555011606560 has 192 divisors, whose sum is σ = 26485292584800. Its totient is φ = 3961293373440.

The previous prime is 10555011606547. The next prime is 10555011606593. The reversal of 10555011606560 is 6560611055501.

It can be written as a sum of positive squares in 16 ways, for example, as 54119508496 + 10500892098064 = 232636^2 + 3240508^2 .

It is a super-2 number, since 2×10555011606560² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327837466 + ... + 1327845414.

Almost surely, 2^{10555011606560} is an apocalyptic number.

10555011606560 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 10555011606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242646292400).

10555011606560 is an abundant number, since it is smaller than the sum of its proper divisors (15930280978240).

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

10555011606560 is a wasteful number, since it uses less digits than its factorization.

10555011606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9439 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 10555011606560 in words is "ten trillion, five hundred fifty-five billion, eleven million, six hundred six thousand, five hundred sixty".