5289561600 has 240 divisors, whose sum is σ = 17617205760. Its totient is φ = 1398988800.

The previous prime is 5289561587. The next prime is 5289561617. The reversal of 5289561600 is 61659825.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5337105 + ... + 5338095.

It is an arithmetic number, because the mean of its divisors is an integer number (73405024).

Almost surely, 2^5289561600 is an apocalyptic number.

5289561600 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 5289561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808602880).

5289561600 is an abundant number, since it is smaller than the sum of its proper divisors (12327644160).

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

5289561600 is a wasteful number, since it uses less digits than its factorization.

5289561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 5289561600 is about 72729.3723333290. The cubic root of 5289561600 is about 1742.3680269632.

The spelling of 5289561600 in words is "five billion, two hundred eighty-nine million, five hundred sixty-one thousand, six hundred".