5609864691600 has 480 divisors, whose sum is σ = 20716490726400. Its totient is φ = 1286034278400.

The previous prime is 5609864691551. The next prime is 5609864691601. The reversal of 5609864691600 is 61964689065.

It is a super-2 number, since 2×5609864691600² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5609864691601) 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, 17327205 + ... + 17647995.

It is an arithmetic number, because the mean of its divisors is an integer number (43159355680).

Almost surely, 2^{5609864691600} is an apocalyptic number.

5609864691600 is a gapful number since it is divisible by the number (50) 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 5609864691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358245363200).

5609864691600 is an abundant number, since it is smaller than the sum of its proper divisors (15106626034800).

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

5609864691600 is a wasteful number, since it uses less digits than its factorization.

5609864691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320903 (or 320892 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 5609864691600 in words is "five trillion, six hundred nine billion, eight hundred sixty-four million, six hundred ninety-one thousand, six hundred".