5827127040 has 1080 divisors, whose sum is σ = 25713781632. Its totient is φ = 1254113280.

The previous prime is 5827127023. The next prime is 5827127041. The reversal of 5827127040 is 407217285.

5827127040 is a `hidden beast` number, since 582 + 7 + 1 + 2 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5827126986 and 5827127004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827127041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 157489902 + ... + 157489938.

Almost surely, 2^5827127040 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 5827127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856890816).

5827127040 is an abundant number, since it is smaller than the sum of its proper divisors (19886654592).

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

5827127040 is a wasteful number, since it uses less digits than its factorization.

5827127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5827127040 is about 76335.6210428657. The cubic root of 5827127040 is about 1799.4985269712.

The spelling of 5827127040 in words is "five billion, eight hundred twenty-seven million, one hundred twenty-seven thousand, forty".