5665826880 has 504 divisors, whose sum is σ = 23525244288. Its totient is φ = 1294175232.

The previous prime is 5665826863. The next prime is 5665826981. The reversal of 5665826880 is 886285665.

5665826880 is a `hidden beast` number, since 56 + 6 + 582 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 3809497 + ... + 3810983.

It is an arithmetic number, because the mean of its divisors is an integer number (46677072).

Almost surely, 2^5665826880 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 5665826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762622144).

5665826880 is an abundant number, since it is smaller than the sum of its proper divisors (17859417408).

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

5665826880 is a wasteful number, since it uses less digits than its factorization.

5665826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 5665826880 is about 75271.6871074377. The cubic root of 5665826880 is about 1782.7390058027.

It can be divided in two parts, 56658 and 26880, that added together give a palindrome (83538).

The spelling of 5665826880 in words is "five billion, six hundred sixty-five million, eight hundred twenty-six thousand, eight hundred eighty".