5827461120 has 480 divisors, whose sum is σ = 22900878000. Its totient is φ = 1358954496.

The previous prime is 5827461103. The next prime is 5827461121. The reversal of 5827461120 is 211647285.

5827461120 is a `hidden beast` number, since 58 + 27 + 461 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5827461120² = 67918606210223308800, 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 not an unprimeable number, because it can be changed into a prime (5827461121) 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, 306708471 + ... + 306708489.

Almost surely, 2^5827461120 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 5827461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450439000).

5827461120 is an abundant number, since it is smaller than the sum of its proper divisors (17073416880).

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

5827461120 is an equidigital number, since it uses as much as digits as its factorization.

5827461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5827461120 is about 76337.8092428647. The cubic root of 5827461120 is about 1799.5329158433.

The spelling of 5827461120 in words is "five billion, eight hundred twenty-seven million, four hundred sixty-one thousand, one hundred twenty".