10561689600 has 1152 divisors, whose sum is σ = 46797004800. Its totient is φ = 2034892800.

The previous prime is 10561689599. The next prime is 10561689601. The reversal of 10561689600 is 698616501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10561689599) and next prime (10561689601).

It is a super-2 number, since 2×10561689600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561689601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224716777 + ... + 224716823.

It is an arithmetic number, because the mean of its divisors is an integer number (40622400).

Almost surely, 2^10561689600 is an apocalyptic number.

10561689600 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 10561689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398502400).

10561689600 is an abundant number, since it is smaller than the sum of its proper divisors (36235315200).

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

10561689600 is a wasteful number, since it uses less digits than its factorization.

10561689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

It can be divided in two parts, 1056 and 1689600, that multiplied together give a square (1784217600 = 42240²).

The spelling of 10561689600 in words is "ten billion, five hundred sixty-one million, six hundred eighty-nine thousand, six hundred".