10561145895300 has 1728 divisors, whose sum is σ = 42538058889984. Its totient is φ = 1988414668800.

The previous prime is 10561145895283. The next prime is 10561145895317. The reversal of 10561145895300 is 359854116501.

It is an interprime number because it is at equal distance from previous prime (10561145895283) and next prime (10561145895317).

It is a super-2 number, since 2×10561145895300² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10561145895300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 41093952772 + ... + 41093953028.

It is an arithmetic number, because the mean of its divisors is an integer number (24616932228).

Almost surely, 2^{10561145895300} is an apocalyptic number.

10561145895300 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 10561145895300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21269029444992).

10561145895300 is an abundant number, since it is smaller than the sum of its proper divisors (31976912994684).

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

10561145895300 is a wasteful number, since it uses less digits than its factorization.

10561145895300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 10561145895300 in words is "ten trillion, five hundred sixty-one billion, one hundred forty-five million, eight hundred ninety-five thousand, three hundred".