10561006566260 has 24 divisors (see below), whose sum is σ = 22184366578080. Its totient is φ = 4223211619104.

The previous prime is 10561006566251. The next prime is 10561006566269. The reversal of 10561006566260 is 6266560016501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10561006566251) and next prime (10561006566269).

It is a super-2 number, since 2×10561006566260² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561006566269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74365250 + ... + 74507129.

It is an arithmetic number, because the mean of its divisors is an integer number (924348607420).

Almost surely, 2^{10561006566260} is an apocalyptic number.

10561006566260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10561006566260 is an abundant number, since it is smaller than the sum of its proper divisors (11623360011820).

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

10561006566260 is a wasteful number, since it uses less digits than its factorization.

10561006566260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148875935 (or 148875933 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 10561006566260 in words is "ten trillion, five hundred sixty-one billion, six million, five hundred sixty-six thousand, two hundred sixty".