5659430400 has 360 divisors, whose sum is σ = 21817275480. Its totient is φ = 1392721920.

The previous prime is 5659430369. The next prime is 5659430419. The reversal of 5659430400 is 40349565.

It is a happy number.

5659430400 is a `hidden beast` number, since 565 + 94 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1495711 + ... + 1499489.

It is an arithmetic number, because the mean of its divisors is an integer number (60603543).

Almost surely, 2^5659430400 is an apocalyptic number.

5659430400 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 5659430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10908637740).

5659430400 is an abundant number, since it is smaller than the sum of its proper divisors (16157845080).

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

5659430400 is a wasteful number, since it uses less digits than its factorization.

5659430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5659430400 is about 75229.1858257153. The cubic root of 5659430400 is about 1782.0678740864.

Adding to 5659430400 its reverse (40349565), we get a palindrome (5699779965).

The spelling of 5659430400 in words is "five billion, six hundred fifty-nine million, four hundred thirty thousand, four hundred".