5665265400 has 192 divisors, whose sum is σ = 18167587200. Its totient is φ = 1459560960.

The previous prime is 5665265399. The next prime is 5665265413. The reversal of 5665265400 is 45625665.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 2129271 + ... + 2131929.

It is an arithmetic number, because the mean of its divisors is an integer number (94622850).

Almost surely, 2^5665265400 is an apocalyptic number.

5665265400 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 5665265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9083793600).

5665265400 is an abundant number, since it is smaller than the sum of its proper divisors (12502321800).

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

5665265400 is a wasteful number, since it uses less digits than its factorization.

5665265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 5665265400 is about 75267.9573258103. The cubic root of 5665265400 is about 1782.6801144066.

It can be divided in two parts, 5665265 and 400, that added together give a palindrome (5665665).

The spelling of 5665265400 in words is "five billion, six hundred sixty-five million, two hundred sixty-five thousand, four hundred".