5610010560 has 448 divisors, whose sum is σ = 22981432320. Its totient is φ = 1125089280.

The previous prime is 5610010537. The next prime is 5610010577. The reversal of 5610010560 is 650100165.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5610010560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142372 + ... + 2144988.

It is an arithmetic number, because the mean of its divisors is an integer number (51297840).

Almost surely, 2^5610010560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5610010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490716160).

5610010560 is an abundant number, since it is smaller than the sum of its proper divisors (17371421760).

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

5610010560 is a wasteful number, since it uses less digits than its factorization.

5610010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5610010560 is about 74900.0037383177. The cubic root of 5610010560 is about 1776.8655183931.

It can be divided in two parts, 56100105 and 60, that added together give a palindrome (56100165).

The spelling of 5610010560 in words is "five billion, six hundred ten million, ten thousand, five hundred sixty".