10605006560550 has 48 divisors (see below), whose sum is σ = 26302195605312. Its totient is φ = 2827810423200.

The previous prime is 10605006560543. The next prime is 10605006560557. The reversal of 10605006560550 is 5506560050601.

It is an interprime number because it is at equal distance from previous prime (10605006560543) and next prime (10605006560557).

It is a super-2 number, since 2×10605006560550² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10605006560499 and 10605006560508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605006560557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160116 + ... + 4608215.

It is an arithmetic number, because the mean of its divisors is an integer number (547962408444).

Almost surely, 2^{10605006560550} is an apocalyptic number.

10605006560550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10605006560550 is an abundant number, since it is smaller than the sum of its proper divisors (15697189044762).

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

10605006560550 is a wasteful number, since it uses less digits than its factorization.

10605006560550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783173 (or 4783168 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 10605006560550 in words is "ten trillion, six hundred five billion, six million, five hundred sixty thousand, five hundred fifty".