5665262400 has 1008 divisors, whose sum is σ = 24894438400. Its totient is φ = 1219276800.

The previous prime is 5665262353. The next prime is 5665262413. The reversal of 5665262400 is 42625665.

5665262400 is a `hidden beast` number, since 566 + 52 + 6 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153115182 + ... + 153115218.

Almost surely, 2^5665262400 is an apocalyptic number.

5665262400 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 5665262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447219200).

5665262400 is an abundant number, since it is smaller than the sum of its proper divisors (19229176000).

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

5665262400 is a wasteful number, since it uses less digits than its factorization.

5665262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5665262400 is about 75267.9373970086. The cubic root of 5665262400 is about 1782.6797997382.

The spelling of 5665262400 in words is "five billion, six hundred sixty-five million, two hundred sixty-two thousand, four hundred".