5661617800 has 96 divisors (see below), whose sum is σ = 13658891400. Its totient is φ = 2179860480.

The previous prime is 5661617743. The next prime is 5661617803. The reversal of 5661617800 is 87161665.

It can be written as a sum of positive squares in 12 ways, for example, as 1800983844 + 3860633956 = 42438^2 + 62134^2 .

It is a super-2 number, since 2×5661617800² = 64107832226553680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5661617803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162092 + ... + 2164708.

Almost surely, 2^5661617800 is an apocalyptic number.

5661617800 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 5661617800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829445700).

5661617800 is an abundant number, since it is smaller than the sum of its proper divisors (7997273600).

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

5661617800 is a wasteful number, since it uses less digits than its factorization.

5661617800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 5661617800 is about 75243.7226617610. The cubic root of 5661617800 is about 1782.2974374222.

The spelling of 5661617800 in words is "five billion, six hundred sixty-one million, six hundred seventeen thousand, eight hundred".