10561610505000 has 80 divisors (see below), whose sum is σ = 32994471264480. Its totient is φ = 2816429464000.

The previous prime is 10561610504999. The next prime is 10561610505001. The reversal of 10561610505000 is 50501616501.

It is an interprime number because it is at equal distance from previous prime (10561610504999) and next prime (10561610505001).

It is a super-2 number, since 2×10561610505000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10561610505001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352038684 + ... + 352068683.

It is an arithmetic number, because the mean of its divisors is an integer number (412430890806).

Almost surely, 2^{10561610505000} is an apocalyptic number.

10561610505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10561610505000 is an abundant number, since it is smaller than the sum of its proper divisors (22432860759480).

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

10561610505000 is an equidigital number, since it uses as much as digits as its factorization.

10561610505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704107396 (or 704107377 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10561610505000 in words is "ten trillion, five hundred sixty-one billion, six hundred ten million, five hundred five thousand".