5665161600 has 1536 divisors, whose sum is σ = 27319680000. Its totient is φ = 1114767360.

The previous prime is 5665161563. The next prime is 5665161611. The reversal of 5665161600 is 61615665.

It is a super-2 number, since 2×5665161600² = 64188111908229120000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 195350386 + ... + 195350414.

It is an arithmetic number, because the mean of its divisors is an integer number (17786250).

Almost surely, 2^5665161600 is an apocalyptic number.

5665161600 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 5665161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840000).

5665161600 is an abundant number, since it is smaller than the sum of its proper divisors (21654518400).

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

5665161600 is a wasteful number, since it uses less digits than its factorization.

5665161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5665161600 is about 75267.2677862031. The cubic root of 5665161600 is about 1782.6692268128.

The spelling of 5665161600 in words is "five billion, six hundred sixty-five million, one hundred sixty-one thousand, six hundred".