5824823040 has 216 divisors, whose sum is σ = 20353089120. Its totient is φ = 1537892352.

The previous prime is 5824823021. The next prime is 5824823041. The reversal of 5824823040 is 403284285.

5824823040 is a `hidden beast` number, since 582 + 4 + 8 + 2 + 30 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5824822986 and 5824823004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5824823041) 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, 1184106 + ... + 1189014.

Almost surely, 2^5824823040 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 5824823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10176544560).

5824823040 is an abundant number, since it is smaller than the sum of its proper divisors (14528266080).

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

5824823040 is a wasteful number, since it uses less digits than its factorization.

5824823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5824823040 is about 76320.5283000583. The cubic root of 5824823040 is about 1799.2613265386.

The spelling of 5824823040 in words is "five billion, eight hundred twenty-four million, eight hundred twenty-three thousand, forty".