5661085248 has 672 divisors, whose sum is σ = 21566428800. Its totient is φ = 1442230272.

The previous prime is 5661085247. The next prime is 5661085267. The reversal of 5661085248 is 8425801665.

5661085248 is a `hidden beast` number, since 5 + 6 + 610 + 8 + 5 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (5661085247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40727163 + ... + 40727301.

It is an arithmetic number, because the mean of its divisors is an integer number (32092900).

Almost surely, 2^5661085248 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 5661085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783214400).

5661085248 is an abundant number, since it is smaller than the sum of its proper divisors (15905343552).

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

5661085248 is a wasteful number, since it uses less digits than its factorization.

5661085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5661085248 is about 75240.1837318331. The cubic root of 5661085248 is about 1782.2415525815.

The spelling of 5661085248 in words is "five billion, six hundred sixty-one million, eighty-five thousand, two hundred forty-eight".